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1,062,720

1,062,720 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,062,720 (one million sixty-two thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 140 divisors, and factors as 2⁶ × 3⁴ × 5 × 41. Its proper divisors sum to 2,809,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103740.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
272,601
Square (n²)
1,129,373,798,400
Cube (n³)
1,200,208,123,035,648,000
Divisor count
140
σ(n) — sum of divisors
3,872,484
φ(n) — Euler's totient
276,480
Sum of prime factors
70

Primality

Prime factorization: 2 6 × 3 4 × 5 × 41

Nearest primes: 1,062,707 (−13) · 1,062,731 (+11)

Divisors & multiples

All divisors (140)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 41 · 45 · 48 · 54 · 60 · 64 · 72 · 80 · 81 · 82 · 90 · 96 · 108 · 120 · 123 · 135 · 144 · 160 · 162 · 164 · 180 · 192 · 205 · 216 · 240 · 246 · 270 · 288 · 320 · 324 · 328 · 360 · 369 · 405 · 410 · 432 · 480 · 492 · 540 · 576 · 615 · 648 · 656 · 720 · 738 · 810 · 820 · 864 · 960 · 984 · 1080 · 1107 · 1230 · 1296 · 1312 · 1440 · 1476 · 1620 · 1640 · 1728 · 1845 · 1968 · 2160 · 2214 · 2460 · 2592 · 2624 · 2880 · 2952 · 3240 · 3280 · 3321 · 3690 · 3936 · 4320 · 4428 · 4920 · 5184 · 5535 · 5904 · 6480 · 6560 · 6642 · 7380 · 7872 · 8640 · 8856 · 9840 · 11070 · 11808 · 12960 · 13120 · 13284 · 14760 · 16605 · 17712 · 19680 · 22140 · 23616 · 25920 · 26568 · 29520 · 33210 · 35424 · 39360 · 44280 · 53136 · 59040 · 66420 · 70848 · 88560 · 106272 · 118080 · 132840 · 177120 · 212544 · 265680 · 354240 · 531360 (half) · 1062720
Aliquot sum (sum of proper divisors): 2,809,764
Factor pairs (a × b = 1,062,720)
1 × 1062720
2 × 531360
3 × 354240
4 × 265680
5 × 212544
6 × 177120
8 × 132840
9 × 118080
10 × 106272
12 × 88560
15 × 70848
16 × 66420
18 × 59040
20 × 53136
24 × 44280
27 × 39360
30 × 35424
32 × 33210
36 × 29520
40 × 26568
41 × 25920
45 × 23616
48 × 22140
54 × 19680
60 × 17712
64 × 16605
72 × 14760
80 × 13284
81 × 13120
82 × 12960
90 × 11808
96 × 11070
108 × 9840
120 × 8856
123 × 8640
135 × 7872
144 × 7380
160 × 6642
162 × 6560
164 × 6480
180 × 5904
192 × 5535
205 × 5184
216 × 4920
240 × 4428
246 × 4320
270 × 3936
288 × 3690
320 × 3321
324 × 3280
328 × 3240
360 × 2952
369 × 2880
405 × 2624
410 × 2592
432 × 2460
480 × 2214
492 × 2160
540 × 1968
576 × 1845
615 × 1728
648 × 1640
656 × 1620
720 × 1476
738 × 1440
810 × 1312
820 × 1296
864 × 1230
960 × 1107
984 × 1080
First multiples
1,062,720 · 2,125,440 (double) · 3,188,160 · 4,250,880 · 5,313,600 · 6,376,320 · 7,439,040 · 8,501,760 · 9,564,480 · 10,627,200

Sums & aliquot sequence

As a sum of two squares: 216² + 1,008² = 432² + 936²
As consecutive integers: 354,239 + 354,240 + 354,241 212,542 + 212,543 + 212,544 + 212,545 + 212,546 118,076 + 118,077 + … + 118,084 70,841 + 70,842 + … + 70,855
Aliquot sequence: 1,062,720 → 2,809,764 → 4,292,786 → 2,146,396 → 2,335,172 → 2,335,228 → 2,335,284 → 4,586,316 → 7,832,244 → 13,053,964 → 15,650,628 → 26,084,604 → 48,828,164 → 59,551,996 → 59,552,052 → 102,090,828 → 170,151,604 — unresolved within range

Continued fraction of √n

√1,062,720 = [1030; (1, 7, 1, 1, 4, 515, 4, 1, 1, 7, 1, 2060)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million sixty-two thousand seven hundred twenty
Ordinal
1062720th
Binary
100000011011101000000
Octal
4033500
Hexadecimal
0x103740
Base64
EDdA
One's complement
4,293,904,575 (32-bit)
Scientific notation
1.06272 × 10⁶
As a duration
1,062,720 s = 12 days, 7 hours, 12 minutes
In other bases
ternary (3) 1222222210000
quaternary (4) 10003131000
quinary (5) 233001340
senary (6) 34440000
septenary (7) 12014211
nonary (9) 1888700
undecimal (11) 66648a
duodecimal (12) 433000
tridecimal (13) 2b2939
tetradecimal (14) 1d9408
pentadecimal (15) 15ed30

As an angle

1,062,720° = 2,952 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零六萬二千七百二十
Chinese (financial)
壹佰零陸萬貳仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٦٢٧٢٠ Devanagari १०६२७२० Bengali ১০৬২৭২০ Tamil ௧௦௬௨௭௨௦ Thai ๑๐๖๒๗๒๐ Tibetan ༡༠༦༢༧༢༠ Khmer ១០៦២៧២០ Lao ໑໐໖໒໗໒໐ Burmese ၁၀၆၂၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1062720, here are decompositions:

  • 13 + 1062707 = 1062720
  • 19 + 1062701 = 1062720
  • 23 + 1062697 = 1062720
  • 37 + 1062683 = 1062720
  • 47 + 1062673 = 1062720
  • 157 + 1062563 = 1062720
  • 163 + 1062557 = 1062720
  • 173 + 1062547 = 1062720

Showing the first eight; more decompositions exist.

Hex color
#103740
RGB(16, 55, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.55.64.

Address
0.16.55.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.55.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 6, 2720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2720-06-01 (DMMYYYY (Euro, single-digit day))
  • 2720-10-06 (MMDYYYY (US, single-digit day))
  • 2720-06-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,062,720 and was likely granted around 1913.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1062720 first appears in π at position 930,542 of the decimal expansion (the 930,542ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.