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1,053,720

1,053,720 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.).

1,053,720 (one million fifty-three thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 2,927. Its proper divisors sum to 2,372,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101418.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
273,501
Square (n²)
1,110,325,838,400
Cube (n³)
1,169,972,542,438,848,000
Divisor count
48
σ(n) — sum of divisors
3,425,760
φ(n) — Euler's totient
280,896
Sum of prime factors
2,944

Primality

Prime factorization: 2 3 × 3 2 × 5 × 2927

Nearest primes: 1,053,713 (−7) · 1,053,727 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 60 · 72 · 90 · 120 · 180 · 360 · 2927 · 5854 · 8781 · 11708 · 14635 · 17562 · 23416 · 26343 · 29270 · 35124 · 43905 · 52686 · 58540 · 70248 · 87810 · 105372 · 117080 · 131715 · 175620 · 210744 · 263430 · 351240 · 526860 (half) · 1053720
Aliquot sum (sum of proper divisors): 2,372,040
Factor pairs (a × b = 1,053,720)
1 × 1053720
2 × 526860
3 × 351240
4 × 263430
5 × 210744
6 × 175620
8 × 131715
9 × 117080
10 × 105372
12 × 87810
15 × 70248
18 × 58540
20 × 52686
24 × 43905
30 × 35124
36 × 29270
40 × 26343
45 × 23416
60 × 17562
72 × 14635
90 × 11708
120 × 8781
180 × 5854
360 × 2927
First multiples
1,053,720 · 2,107,440 (double) · 3,161,160 · 4,214,880 · 5,268,600 · 6,322,320 · 7,376,040 · 8,429,760 · 9,483,480 · 10,537,200

Sums & aliquot sequence

As consecutive integers: 351,239 + 351,240 + 351,241 210,742 + 210,743 + 210,744 + 210,745 + 210,746 117,076 + 117,077 + … + 117,084 70,241 + 70,242 + … + 70,255
Aliquot sequence: 1,053,720 2,372,040 6,051,960 13,618,080 40,720,932 76,918,044 133,083,636 232,699,404 387,832,564 387,832,620 853,233,108 1,637,440,812 3,293,910,228 5,517,630,636 10,061,565,780 — keeps growing

Continued fraction of √n

√1,053,720 = [1026; (1, 1, 28, 2, 2, 2, 6, 5, 2, 2, 4, 1, 2, 13, 1, 4, 11, 4, 1, 13, 2, 1, 4, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand seven hundred twenty
Ordinal
1053720th
Binary
100000001010000011000
Octal
4012030
Hexadecimal
0x101418
Base64
EBQY
One's complement
4,293,913,575 (32-bit)
Scientific notation
1.05372 × 10⁶
As a duration
1,053,720 s = 12 days, 4 hours, 42 minutes
In other bases
ternary (3) 1222112102200
quaternary (4) 10001100120
quinary (5) 232204340
senary (6) 34330200
septenary (7) 11646033
nonary (9) 1875380
undecimal (11) 65a748
duodecimal (12) 429960
tridecimal (13) 2ab805
tetradecimal (14) 1d601a
pentadecimal (15) 15c330

As an angle

1,053,720° = 2,927 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬三千七百二十
Chinese (financial)
壹佰零伍萬參仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٣٧٢٠ Devanagari १०५३७२० Bengali ১০৫৩৭২০ Tamil ௧௦௫௩௭௨௦ Thai ๑๐๕๓๗๒๐ Tibetan ༡༠༥༣༧༢༠ Khmer ១០៥៣៧២០ Lao ໑໐໕໓໗໒໐ Burmese ၁၀၅၃၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053720, here are decompositions:

  • 7 + 1053713 = 1053720
  • 13 + 1053707 = 1053720
  • 23 + 1053697 = 1053720
  • 29 + 1053691 = 1053720
  • 103 + 1053617 = 1053720
  • 127 + 1053593 = 1053720
  • 131 + 1053589 = 1053720
  • 137 + 1053583 = 1053720

Showing the first eight; more decompositions exist.

Hex color
#101418
RGB(16, 20, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.24.

Address
0.16.20.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.20.24

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 3720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3720-05-01 (DMMYYYY (Euro, single-digit day))
  • 3720-10-05 (MMDYYYY (US, single-digit day))
  • 3720-05-10 (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 1,053,720 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°.