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Live analysis

55,440

55,440 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 Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
4,455
Recamán's sequence
a(140,675) = 55,440
Square (n²)
3,073,593,600
Cube (n³)
170,400,029,184,000
Divisor count
120
σ(n) — sum of divisors
232,128
φ(n) — Euler's totient
11,520
Sum of prime factors
37

Primality

Prime factorization: 2 4 × 3 2 × 5 × 7 × 11

Nearest primes: 55,439 (−1) · 55,441 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 11 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 22 · 24 · 28 · 30 · 33 · 35 · 36 · 40 · 42 · 44 · 45 · 48 · 55 · 56 · 60 · 63 · 66 · 70 · 72 · 77 · 80 · 84 · 88 · 90 · 99 · 105 · 110 · 112 · 120 · 126 · 132 · 140 · 144 · 154 · 165 · 168 · 176 · 180 · 198 · 210 · 220 · 231 · 240 · 252 · 264 · 280 · 308 · 315 · 330 · 336 · 360 · 385 · 396 · 420 · 440 · 462 · 495 · 504 · 528 · 560 · 616 · 630 · 660 · 693 · 720 · 770 · 792 · 840 · 880 · 924 · 990 · 1008 · 1155 · 1232 · 1260 · 1320 · 1386 · 1540 · 1584 · 1680 · 1848 · 1980 · 2310 · 2520 · 2640 · 2772 · 3080 · 3465 · 3696 · 3960 · 4620 · 5040 · 5544 · 6160 · 6930 · 7920 · 9240 · 11088 · 13860 · 18480 · 27720 (half) · 55440
Aliquot sum (sum of proper divisors): 176,688
Factor pairs (a × b = 55,440)
1 × 55440
2 × 27720
3 × 18480
4 × 13860
5 × 11088
6 × 9240
7 × 7920
8 × 6930
9 × 6160
10 × 5544
11 × 5040
12 × 4620
14 × 3960
15 × 3696
16 × 3465
18 × 3080
20 × 2772
21 × 2640
22 × 2520
24 × 2310
28 × 1980
30 × 1848
33 × 1680
35 × 1584
36 × 1540
40 × 1386
42 × 1320
44 × 1260
45 × 1232
48 × 1155
55 × 1008
56 × 990
60 × 924
63 × 880
66 × 840
70 × 792
72 × 770
77 × 720
80 × 693
84 × 660
88 × 630
90 × 616
99 × 560
105 × 528
110 × 504
112 × 495
120 × 462
126 × 440
132 × 420
140 × 396
144 × 385
154 × 360
165 × 336
168 × 330
176 × 315
180 × 308
198 × 280
210 × 264
220 × 252
231 × 240
First multiples
55,440 · 110,880 (double) · 166,320 · 221,760 · 277,200 · 332,640 · 388,080 · 443,520 · 498,960 · 554,400

Sums & aliquot sequence

As consecutive integers: 18,479 + 18,480 + 18,481 11,086 + 11,087 + 11,088 + 11,089 + 11,090 7,917 + 7,918 + … + 7,923 6,156 + 6,157 + … + 6,164
Aliquot sequence: 55,440 176,688 331,712 344,944 323,416 283,004 216,796 167,756 143,212 107,416 101,384 114,616 100,304 94,066 67,214 48,034 37,214 — unresolved within range

Representations

In words
fifty-five thousand four hundred forty
Ordinal
55440th
Binary
1101100010010000
Octal
154220
Hexadecimal
0xD890
Base64
2JA=
One's complement
10,095 (16-bit)
In other bases
ternary (3) 2211001100
quaternary (4) 31202100
quinary (5) 3233230
senary (6) 1104400
septenary (7) 320430
nonary (9) 84040
undecimal (11) 38720
duodecimal (12) 28100
tridecimal (13) 1c308
tetradecimal (14) 162c0
pentadecimal (15) 11660

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵νευμʹ
Mayan (base 20)
𝋦·𝋲·𝋬·𝋠
Chinese
五萬五千四百四十
Chinese (financial)
伍萬伍仟肆佰肆拾
In other modern scripts
Eastern Arabic ٥٥٤٤٠ Devanagari ५५४४० Bengali ৫৫৪৪০ Tamil ௫௫௪௪௦ Thai ๕๕๔๔๐ Tibetan ༥༥༤༤༠ Khmer ៥៥៤៤០ Lao ໕໕໔໔໐ Burmese ၅၅၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 55,440 = 2
e — Euler's number (e)
Digit 55,440 = 3
φ — Golden ratio (φ)
Digit 55,440 = 3
√2 — Pythagoras's (√2)
Digit 55,440 = 6
ln 2 — Natural log of 2
Digit 55,440 = 5
γ — Euler-Mascheroni (γ)
Digit 55,440 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55440, here are decompositions:

  • 29 + 55411 = 55440
  • 41 + 55399 = 55440
  • 59 + 55381 = 55440
  • 67 + 55373 = 55440
  • 89 + 55351 = 55440
  • 97 + 55343 = 55440
  • 101 + 55339 = 55440
  • 103 + 55337 = 55440

Showing the first eight; more decompositions exist.

Hex color
#00D890
RGB(0, 216, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.216.144.

Address
0.0.216.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.216.144

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
000055440
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 55440 first appears in π at position 374,948 of the decimal expansion (the 374,948ordinal-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.