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97,440

97,440 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 Arithmetic Number Evil Number Harshad / Niven Practical Number Self Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
4,479
Square (n²)
9,494,553,600
Cube (n³)
925,149,302,784,000
Divisor count
96
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
21,504
Sum of prime factors
54

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 29

Nearest primes: 97,429 (−11) · 97,441 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 29 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 58 · 60 · 70 · 80 · 84 · 87 · 96 · 105 · 112 · 116 · 120 · 140 · 145 · 160 · 168 · 174 · 203 · 210 · 224 · 232 · 240 · 280 · 290 · 336 · 348 · 406 · 420 · 435 · 464 · 480 · 560 · 580 · 609 · 672 · 696 · 812 · 840 · 870 · 928 · 1015 · 1120 · 1160 · 1218 · 1392 · 1624 · 1680 · 1740 · 2030 · 2320 · 2436 · 2784 · 3045 · 3248 · 3360 · 3480 · 4060 · 4640 · 4872 · 6090 · 6496 · 6960 · 8120 · 9744 · 12180 · 13920 · 16240 · 19488 · 24360 · 32480 · 48720 (half) · 97440
Aliquot sum (sum of proper divisors): 265,440
Factor pairs (a × b = 97,440)
1 × 97440
2 × 48720
3 × 32480
4 × 24360
5 × 19488
6 × 16240
7 × 13920
8 × 12180
10 × 9744
12 × 8120
14 × 6960
15 × 6496
16 × 6090
20 × 4872
21 × 4640
24 × 4060
28 × 3480
29 × 3360
30 × 3248
32 × 3045
35 × 2784
40 × 2436
42 × 2320
48 × 2030
56 × 1740
58 × 1680
60 × 1624
70 × 1392
80 × 1218
84 × 1160
87 × 1120
96 × 1015
105 × 928
112 × 870
116 × 840
120 × 812
140 × 696
145 × 672
160 × 609
168 × 580
174 × 560
203 × 480
210 × 464
224 × 435
232 × 420
240 × 406
280 × 348
290 × 336
First multiples
97,440 · 194,880 (double) · 292,320 · 389,760 · 487,200 · 584,640 · 682,080 · 779,520 · 876,960 · 974,400

Sums & aliquot sequence

As consecutive integers: 32,479 + 32,480 + 32,481 19,486 + 19,487 + 19,488 + 19,489 + 19,490 13,917 + 13,918 + … + 13,923 6,489 + 6,490 + … + 6,503
Aliquot sequence: 97,440 265,440 702,240 2,200,800 6,048,672 12,099,360 34,978,272 69,958,560 187,831,392 375,664,800 1,049,244,000 2,879,440,032 5,999,991,648 12,421,248,672 — keeps growing

Representations

In words
ninety-seven thousand four hundred forty
Ordinal
97440th
Binary
10111110010100000
Octal
276240
Hexadecimal
0x17CA0
Base64
AXyg
One's complement
4,294,869,855 (32-bit)
In other bases
ternary (3) 11221122220
quaternary (4) 113302200
quinary (5) 11104230
senary (6) 2031040
septenary (7) 554040
nonary (9) 157586
undecimal (11) 67232
duodecimal (12) 48480
tridecimal (13) 35475
tetradecimal (14) 27720
pentadecimal (15) 1dd10

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϟζυμʹ
Mayan (base 20)
𝋬·𝋣·𝋬·𝋠
Chinese
九萬七千四百四十
Chinese (financial)
玖萬柒仟肆佰肆拾
In other modern scripts
Eastern Arabic ٩٧٤٤٠ Devanagari ९७४४० Bengali ৯৭৪৪০ Tamil ௯௭௪௪௦ Thai ๙๗๔๔๐ Tibetan ༩༧༤༤༠ Khmer ៩៧៤៤០ Lao ໙໗໔໔໐ Burmese ၉၇၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 97,440 = 4
e — Euler's number (e)
Digit 97,440 = 5
φ — Golden ratio (φ)
Digit 97,440 = 2
√2 — Pythagoras's (√2)
Digit 97,440 = 3
ln 2 — Natural log of 2
Digit 97,440 = 3
γ — Euler-Mascheroni (γ)
Digit 97,440 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 97440, here are decompositions:

  • 11 + 97429 = 97440
  • 17 + 97423 = 97440
  • 43 + 97397 = 97440
  • 53 + 97387 = 97440
  • 59 + 97381 = 97440
  • 61 + 97379 = 97440
  • 67 + 97373 = 97440
  • 71 + 97369 = 97440

Showing the first eight; more decompositions exist.

Unicode codepoint
𗲠
Tangut Ideograph-17Ca0
U+17CA0
Other letter (Lo)

UTF-8 encoding: F0 97 B2 A0 (4 bytes).

Hex color
#017CA0
RGB(1, 124, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.124.160.

Address
0.1.124.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.124.160

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
000097440
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 97440 first appears in π at position 10,805 of the decimal expansion (the 10,805ordinal-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.