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1,026,720

1,026,720 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.).

1,026,720 (one million twenty-six thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 23 × 31. Its proper divisors sum to 2,747,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAAA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
276,201
Square (n²)
1,054,153,958,400
Cube (n³)
1,082,320,952,168,448,000
Divisor count
144
σ(n) — sum of divisors
3,773,952
φ(n) — Euler's totient
253,440
Sum of prime factors
75

Primality

Prime factorization: 2 5 × 3 2 × 5 × 23 × 31

Nearest primes: 1,026,709 (−11) · 1,026,733 (+13)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 23 · 24 · 30 · 31 · 32 · 36 · 40 · 45 · 46 · 48 · 60 · 62 · 69 · 72 · 80 · 90 · 92 · 93 · 96 · 115 · 120 · 124 · 138 · 144 · 155 · 160 · 180 · 184 · 186 · 207 · 230 · 240 · 248 · 276 · 279 · 288 · 310 · 345 · 360 · 368 · 372 · 414 · 460 · 465 · 480 · 496 · 552 · 558 · 620 · 690 · 713 · 720 · 736 · 744 · 828 · 920 · 930 · 992 · 1035 · 1104 · 1116 · 1240 · 1380 · 1395 · 1426 · 1440 · 1488 · 1656 · 1840 · 1860 · 2070 · 2139 · 2208 · 2232 · 2480 · 2760 · 2790 · 2852 · 2976 · 3312 · 3565 · 3680 · 3720 · 4140 · 4278 · 4464 · 4960 · 5520 · 5580 · 5704 · 6417 · 6624 · 7130 · 7440 · 8280 · 8556 · 8928 · 10695 · 11040 · 11160 · 11408 · 12834 · 14260 · 14880 · 16560 · 17112 · 21390 · 22320 · 22816 · 25668 · 28520 · 32085 · 33120 · 34224 · 42780 · 44640 · 51336 · 57040 · 64170 · 68448 · 85560 · 102672 · 114080 · 128340 · 171120 · 205344 · 256680 · 342240 · 513360 (half) · 1026720
Aliquot sum (sum of proper divisors): 2,747,232
Factor pairs (a × b = 1,026,720)
1 × 1026720
2 × 513360
3 × 342240
4 × 256680
5 × 205344
6 × 171120
8 × 128340
9 × 114080
10 × 102672
12 × 85560
15 × 68448
16 × 64170
18 × 57040
20 × 51336
23 × 44640
24 × 42780
30 × 34224
31 × 33120
32 × 32085
36 × 28520
40 × 25668
45 × 22816
46 × 22320
48 × 21390
60 × 17112
62 × 16560
69 × 14880
72 × 14260
80 × 12834
90 × 11408
92 × 11160
93 × 11040
96 × 10695
115 × 8928
120 × 8556
124 × 8280
138 × 7440
144 × 7130
155 × 6624
160 × 6417
180 × 5704
184 × 5580
186 × 5520
207 × 4960
230 × 4464
240 × 4278
248 × 4140
276 × 3720
279 × 3680
288 × 3565
310 × 3312
345 × 2976
360 × 2852
368 × 2790
372 × 2760
414 × 2480
460 × 2232
465 × 2208
480 × 2139
496 × 2070
552 × 1860
558 × 1840
620 × 1656
690 × 1488
713 × 1440
720 × 1426
736 × 1395
744 × 1380
828 × 1240
920 × 1116
930 × 1104
992 × 1035
First multiples
1,026,720 · 2,053,440 (double) · 3,080,160 · 4,106,880 · 5,133,600 · 6,160,320 · 7,187,040 · 8,213,760 · 9,240,480 · 10,267,200

Sums & aliquot sequence

As consecutive integers: 342,239 + 342,240 + 342,241 205,342 + 205,343 + 205,344 + 205,345 + 205,346 114,076 + 114,077 + … + 114,084 68,441 + 68,442 + … + 68,455
Aliquot sequence: 1,026,720 2,747,232 5,066,028 9,021,864 13,658,136 22,457,064 41,706,456 72,687,144 110,909,976 166,868,184 343,813,416 516,220,824 976,506,216 2,164,306,584 4,085,575,656 6,128,363,544 9,192,545,376 — unresolved within range

Continued fraction of √n

√1,026,720 = [1013; (3, 1, 2, 9, 1, 40, 2, 4, 1, 505, 1, 4, 2, 40, 1, 9, 2, 1, 3, 2026)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million twenty-six thousand seven hundred twenty
Ordinal
1026720th
Binary
11111010101010100000
Octal
3725240
Hexadecimal
0xFAAA0
Base64
D6qg
One's complement
4,293,940,575 (32-bit)
Scientific notation
1.02672 × 10⁶
As a duration
1,026,720 s = 11 days, 21 hours, 12 minutes
In other bases
ternary (3) 1221011101200
quaternary (4) 3322222200
quinary (5) 230323340
senary (6) 34001200
septenary (7) 11504232
nonary (9) 1834350
undecimal (11) 641432
duodecimal (12) 416200
tridecimal (13) 29c436
tetradecimal (14) 1ca252
pentadecimal (15) 154330

As an angle

1,026,720° = 2,852 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬六千七百二十
Chinese (financial)
壹佰零貳萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٦٧٢٠ Devanagari १०२६७२० Bengali ১০২৬৭২০ Tamil ௧௦௨௬௭௨௦ Thai ๑๐๒๖๗๒๐ Tibetan ༡༠༢༦༧༢༠ Khmer ១០២៦៧២០ Lao ໑໐໒໖໗໒໐ Burmese ၁၀၂၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1026720, here are decompositions:

  • 11 + 1026709 = 1026720
  • 41 + 1026679 = 1026720
  • 43 + 1026677 = 1026720
  • 47 + 1026673 = 1026720
  • 53 + 1026667 = 1026720
  • 59 + 1026661 = 1026720
  • 127 + 1026593 = 1026720
  • 137 + 1026583 = 1026720

Showing the first eight; more decompositions exist.

Hex color
#0FAAA0
RGB(15, 170, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.170.160.

Address
0.15.170.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.170.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 6720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6720-02-01 (DMMYYYY (Euro, single-digit day))
  • 6720-10-02 (MMDYYYY (US, single-digit day))
  • 6720-02-10 (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 1,026,720 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°.