number.wiki
Live analysis

87,120

87,120 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
2,178
Square (n²)
7,589,894,400
Cube (n³)
661,231,600,128,000
Divisor count
90
σ(n) — sum of divisors
321,594
φ(n) — Euler's totient
21,120
Sum of prime factors
41

Primality

Prime factorization: 2 4 × 3 2 × 5 × 11 2

Nearest primes: 87,119 (−1) · 87,121 (+1)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 30 · 33 · 36 · 40 · 44 · 45 · 48 · 55 · 60 · 66 · 72 · 80 · 88 · 90 · 99 · 110 · 120 · 121 · 132 · 144 · 165 · 176 · 180 · 198 · 220 · 240 · 242 · 264 · 330 · 360 · 363 · 396 · 440 · 484 · 495 · 528 · 605 · 660 · 720 · 726 · 792 · 880 · 968 · 990 · 1089 · 1210 · 1320 · 1452 · 1584 · 1815 · 1936 · 1980 · 2178 · 2420 · 2640 · 2904 · 3630 · 3960 · 4356 · 4840 · 5445 · 5808 · 7260 · 7920 · 8712 · 9680 · 10890 · 14520 · 17424 · 21780 · 29040 · 43560 (half) · 87120
Aliquot sum (sum of proper divisors): 234,474
Factor pairs (a × b = 87,120)
1 × 87120
2 × 43560
3 × 29040
4 × 21780
5 × 17424
6 × 14520
8 × 10890
9 × 9680
10 × 8712
11 × 7920
12 × 7260
15 × 5808
16 × 5445
18 × 4840
20 × 4356
22 × 3960
24 × 3630
30 × 2904
33 × 2640
36 × 2420
40 × 2178
44 × 1980
45 × 1936
48 × 1815
55 × 1584
60 × 1452
66 × 1320
72 × 1210
80 × 1089
88 × 990
90 × 968
99 × 880
110 × 792
120 × 726
121 × 720
132 × 660
144 × 605
165 × 528
176 × 495
180 × 484
198 × 440
220 × 396
240 × 363
242 × 360
264 × 330
First multiples
87,120 · 174,240 (double) · 261,360 · 348,480 · 435,600 · 522,720 · 609,840 · 696,960 · 784,080 · 871,200

Sums & aliquot sequence

As a sum of two squares: 132² + 264²
As consecutive integers: 29,039 + 29,040 + 29,041 17,422 + 17,423 + 17,424 + 17,425 + 17,426 9,676 + 9,677 + … + 9,684 7,915 + 7,916 + … + 7,925
Aliquot sequence: 87,120 234,474 234,486 346,458 463,398 542,370 779,550 1,154,106 1,376,058 1,376,070 1,926,570 2,739,030 4,774,314 5,336,214 6,748,698 7,975,878 7,975,890 — unresolved within range

Representations

In words
eighty-seven thousand one hundred twenty
Ordinal
87120th
Binary
10101010001010000
Octal
252120
Hexadecimal
0x15450
Base64
AVRQ
One's complement
4,294,880,175 (32-bit)
In other bases
ternary (3) 11102111200
quaternary (4) 111101100
quinary (5) 10241440
senary (6) 1511200
septenary (7) 511665
nonary (9) 142450
undecimal (11) 5a500
duodecimal (12) 42500
tridecimal (13) 30867
tetradecimal (14) 23a6c
pentadecimal (15) 1ac30

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵πζρκʹ
Mayan (base 20)
𝋪·𝋱·𝋰·𝋠
Chinese
八萬七千一百二十
Chinese (financial)
捌萬柒仟壹佰貳拾
In other modern scripts
Eastern Arabic ٨٧١٢٠ Devanagari ८७१२० Bengali ৮৭১২০ Tamil ௮௭௧௨௦ Thai ๘๗๑๒๐ Tibetan ༨༧༡༢༠ Khmer ៨៧១២០ Lao ໘໗໑໒໐ Burmese ၈၇၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 87,120 = 5
e — Euler's number (e)
Digit 87,120 = 2
φ — Golden ratio (φ)
Digit 87,120 = 1
√2 — Pythagoras's (√2)
Digit 87,120 = 3
ln 2 — Natural log of 2
Digit 87,120 = 0
γ — Euler-Mascheroni (γ)
Digit 87,120 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 87120, here are decompositions:

  • 13 + 87107 = 87120
  • 17 + 87103 = 87120
  • 37 + 87083 = 87120
  • 71 + 87049 = 87120
  • 79 + 87041 = 87120
  • 83 + 87037 = 87120
  • 107 + 87013 = 87120
  • 109 + 87011 = 87120

Showing the first eight; more decompositions exist.

Hex color
#015450
RGB(1, 84, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.84.80.

Address
0.1.84.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.84.80

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000087120
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 87120 first appears in π at position 150,504 of the decimal expansion (the 150,504ordinal-suffix:th 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.