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54,120

54,120 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 Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
2,145
Recamán's sequence
a(19,740) = 54,120
Square (n²)
2,928,974,400
Cube (n³)
158,516,094,528,000
Divisor count
64
σ(n) — sum of divisors
181,440
φ(n) — Euler's totient
12,800
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 41

Nearest primes: 54,101 (−19) · 54,121 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 41 · 44 · 55 · 60 · 66 · 82 · 88 · 110 · 120 · 123 · 132 · 164 · 165 · 205 · 220 · 246 · 264 · 328 · 330 · 410 · 440 · 451 · 492 · 615 · 660 · 820 · 902 · 984 · 1230 · 1320 · 1353 · 1640 · 1804 · 2255 · 2460 · 2706 · 3608 · 4510 · 4920 · 5412 · 6765 · 9020 · 10824 · 13530 · 18040 · 27060 (half) · 54120
Aliquot sum (sum of proper divisors): 127,320
Factor pairs (a × b = 54,120)
1 × 54120
2 × 27060
3 × 18040
4 × 13530
5 × 10824
6 × 9020
8 × 6765
10 × 5412
11 × 4920
12 × 4510
15 × 3608
20 × 2706
22 × 2460
24 × 2255
30 × 1804
33 × 1640
40 × 1353
41 × 1320
44 × 1230
55 × 984
60 × 902
66 × 820
82 × 660
88 × 615
110 × 492
120 × 451
123 × 440
132 × 410
164 × 330
165 × 328
205 × 264
220 × 246
First multiples
54,120 · 108,240 (double) · 162,360 · 216,480 · 270,600 · 324,720 · 378,840 · 432,960 · 487,080 · 541,200

Sums & aliquot sequence

As consecutive integers: 18,039 + 18,040 + 18,041 10,822 + 10,823 + 10,824 + 10,825 + 10,826 4,915 + 4,916 + … + 4,925 3,601 + 3,602 + … + 3,615
Aliquot sequence: 54,120 127,320 255,000 588,480 1,282,992 2,031,528 3,158,232 6,691,368 10,037,112 15,284,568 25,867,032 38,800,608 93,287,712 186,577,440 485,113,440 1,261,307,040 3,499,678,560 — unresolved within range

Representations

In words
fifty-four thousand one hundred twenty
Ordinal
54120th
Binary
1101001101101000
Octal
151550
Hexadecimal
0xD368
Base64
02g=
One's complement
11,415 (16-bit)
In other bases
ternary (3) 2202020110
quaternary (4) 31031220
quinary (5) 3212440
senary (6) 1054320
septenary (7) 313533
nonary (9) 82213
undecimal (11) 37730
duodecimal (12) 273a0
tridecimal (13) 1b831
tetradecimal (14) 15a1a
pentadecimal (15) 11080

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵νδρκʹ
Mayan (base 20)
𝋦·𝋯·𝋦·𝋠
Chinese
五萬四千一百二十
Chinese (financial)
伍萬肆仟壹佰貳拾
In other modern scripts
Eastern Arabic ٥٤١٢٠ Devanagari ५४१२० Bengali ৫৪১২০ Tamil ௫௪௧௨௦ Thai ๕๔๑๒๐ Tibetan ༥༤༡༢༠ Khmer ៥៤១២០ Lao ໕໔໑໒໐ Burmese ၅၄၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 54,120 = 2
e — Euler's number (e)
Digit 54,120 = 5
φ — Golden ratio (φ)
Digit 54,120 = 0
√2 — Pythagoras's (√2)
Digit 54,120 = 1
ln 2 — Natural log of 2
Digit 54,120 = 7
γ — Euler-Mascheroni (γ)
Digit 54,120 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 54120, here are decompositions:

  • 19 + 54101 = 54120
  • 29 + 54091 = 54120
  • 37 + 54083 = 54120
  • 61 + 54059 = 54120
  • 71 + 54049 = 54120
  • 83 + 54037 = 54120
  • 107 + 54013 = 54120
  • 109 + 54011 = 54120

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Pyael
U+D368
Other letter (Lo)

UTF-8 encoding: ED 8D A8 (3 bytes).

Hex color
#00D368
RGB(0, 211, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.211.104.

Address
0.0.211.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.211.104

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

Position in π

The digit sequence 54120 first appears in π at position 29,800 of the decimal expansion (the 29,800ordinal-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.