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1,061,720

1,061,720 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.).

1,061,720 (one million sixty-one thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 19 × 127. Its proper divisors sum to 1,703,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103358.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
271,601
Square (n²)
1,127,249,358,400
Cube (n³)
1,196,823,188,800,448,000
Divisor count
64
σ(n) — sum of divisors
2,764,800
φ(n) — Euler's totient
362,880
Sum of prime factors
168

Primality

Prime factorization: 2 3 × 5 × 11 × 19 × 127

Nearest primes: 1,061,717 (−3) · 1,061,729 (+9)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 19 · 20 · 22 · 38 · 40 · 44 · 55 · 76 · 88 · 95 · 110 · 127 · 152 · 190 · 209 · 220 · 254 · 380 · 418 · 440 · 508 · 635 · 760 · 836 · 1016 · 1045 · 1270 · 1397 · 1672 · 2090 · 2413 · 2540 · 2794 · 4180 · 4826 · 5080 · 5588 · 6985 · 8360 · 9652 · 11176 · 12065 · 13970 · 19304 · 24130 · 26543 · 27940 · 48260 · 53086 · 55880 · 96520 · 106172 · 132715 · 212344 · 265430 · 530860 (half) · 1061720
Aliquot sum (sum of proper divisors): 1,703,080
Factor pairs (a × b = 1,061,720)
1 × 1061720
2 × 530860
4 × 265430
5 × 212344
8 × 132715
10 × 106172
11 × 96520
19 × 55880
20 × 53086
22 × 48260
38 × 27940
40 × 26543
44 × 24130
55 × 19304
76 × 13970
88 × 12065
95 × 11176
110 × 9652
127 × 8360
152 × 6985
190 × 5588
209 × 5080
220 × 4826
254 × 4180
380 × 2794
418 × 2540
440 × 2413
508 × 2090
635 × 1672
760 × 1397
836 × 1270
1016 × 1045
First multiples
1,061,720 · 2,123,440 (double) · 3,185,160 · 4,246,880 · 5,308,600 · 6,370,320 · 7,432,040 · 8,493,760 · 9,555,480 · 10,617,200

Sums & aliquot sequence

As a sum of two cubes: 8³ + 102³
As consecutive integers: 212,342 + 212,343 + 212,344 + 212,345 + 212,346 96,515 + 96,516 + … + 96,525 66,350 + 66,351 + … + 66,365 55,871 + 55,872 + … + 55,889
Aliquot sequence: 1,061,720 → 1,703,080 → 2,128,940 → 2,748,772 → 2,431,704 → 4,353,576 → 6,530,424 → 9,954,696 → 14,932,104 → 26,159,736 → 43,906,344 → 66,329,496 → 124,290,504 → 247,527,096 → 373,180,104 → 729,399,816 → 1,421,157,384 — unresolved within range

Continued fraction of √n

√1,061,720 = [1030; (2, 1, 1, 19, 4, 1, 1, 1, 4, 11, 1, 45, 1, 11, 4, 1, 1, 1, 4, 19, 1, 1, 2, 2060)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million sixty-one thousand seven hundred twenty
Ordinal
1061720th
Binary
100000011001101011000
Octal
4031530
Hexadecimal
0x103358
Base64
EDNY
One's complement
4,293,905,575 (32-bit)
Scientific notation
1.06172 × 10⁶
As a duration
1,061,720 s = 12 days, 6 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 1222221101222
quaternary (4) 10003031120
quinary (5) 232433340
senary (6) 34431212
septenary (7) 12011252
nonary (9) 1887358
undecimal (11) 665760
duodecimal (12) 432508
tridecimal (13) 2b234a
tetradecimal (14) 1d8cd2
pentadecimal (15) 15e8b5

As an angle

1,061,720° = 2,949 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零六萬一千七百二十
Chinese (financial)
壹佰零陸萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٦١٧٢٠ Devanagari १०६१७२० Bengali ১০৬১৭২০ Tamil ௧௦௬௧௭௨௦ Thai ๑๐๖๑๗๒๐ Tibetan ༡༠༦༡༧༢༠ Khmer ១០៦១៧២០ Lao ໑໐໖໑໗໒໐ Burmese ၁၀၆၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061720, here are decompositions:

  • 3 + 1061717 = 1061720
  • 13 + 1061707 = 1061720
  • 31 + 1061689 = 1061720
  • 43 + 1061677 = 1061720
  • 73 + 1061647 = 1061720
  • 97 + 1061623 = 1061720
  • 103 + 1061617 = 1061720
  • 151 + 1061569 = 1061720

Showing the first eight; more decompositions exist.

Hex color
#103358
RGB(16, 51, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.51.88.

Address
0.16.51.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.51.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 1720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1720-06-01 (DMMYYYY (Euro, single-digit day))
  • 1720-10-06 (MMDYYYY (US, single-digit day))
  • 1720-06-10 (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 1,061,720 and was likely granted around 1912.

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

Related reading

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