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42,120

42,120 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
2,124
Recamán's sequence
a(151,383) = 42,120
Square (n²)
1,774,094,400
Cube (n³)
74,724,856,128,000
Divisor count
80
σ(n) — sum of divisors
152,460
φ(n) — Euler's totient
10,368
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 3 4 × 5 × 13

Nearest primes: 42,101 (−19) · 42,131 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 26 · 27 · 30 · 36 · 39 · 40 · 45 · 52 · 54 · 60 · 65 · 72 · 78 · 81 · 90 · 104 · 108 · 117 · 120 · 130 · 135 · 156 · 162 · 180 · 195 · 216 · 234 · 260 · 270 · 312 · 324 · 351 · 360 · 390 · 405 · 468 · 520 · 540 · 585 · 648 · 702 · 780 · 810 · 936 · 1053 · 1080 · 1170 · 1404 · 1560 · 1620 · 1755 · 2106 · 2340 · 2808 · 3240 · 3510 · 4212 · 4680 · 5265 · 7020 · 8424 · 10530 · 14040 · 21060 (half) · 42120
Aliquot sum (sum of proper divisors): 110,340
Factor pairs (a × b = 42,120)
1 × 42120
2 × 21060
3 × 14040
4 × 10530
5 × 8424
6 × 7020
8 × 5265
9 × 4680
10 × 4212
12 × 3510
13 × 3240
15 × 2808
18 × 2340
20 × 2106
24 × 1755
26 × 1620
27 × 1560
30 × 1404
36 × 1170
39 × 1080
40 × 1053
45 × 936
52 × 810
54 × 780
60 × 702
65 × 648
72 × 585
78 × 540
81 × 520
90 × 468
104 × 405
108 × 390
117 × 360
120 × 351
130 × 324
135 × 312
156 × 270
162 × 260
180 × 234
195 × 216
First multiples
42,120 · 84,240 (double) · 126,360 · 168,480 · 210,600 · 252,720 · 294,840 · 336,960 · 379,080 · 421,200

Sums & aliquot sequence

As a sum of two squares: 54² + 198² = 126² + 162²
As consecutive integers: 14,039 + 14,040 + 14,041 8,422 + 8,423 + 8,424 + 8,425 + 8,426 4,676 + 4,677 + … + 4,684 3,234 + 3,235 + … + 3,246
Aliquot sequence: 42,120 110,340 224,904 337,416 556,824 835,296 1,922,592 3,847,200 10,526,880 30,454,368 60,910,752 121,823,520 350,646,240 928,626,720 2,434,254,816 4,878,744,864 10,874,746,848 — keeps growing

Representations

In words
forty-two thousand one hundred twenty
Ordinal
42120th
Binary
1010010010001000
Octal
122210
Hexadecimal
0xA488
Base64
pIg=
One's complement
23,415 (16-bit)
In other bases
ternary (3) 2010210000
quaternary (4) 22102020
quinary (5) 2321440
senary (6) 523000
septenary (7) 233541
nonary (9) 63700
undecimal (11) 29711
duodecimal (12) 20460
tridecimal (13) 16230
tetradecimal (14) 114c8
pentadecimal (15) c730

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵μβρκʹ
Mayan (base 20)
𝋥·𝋥·𝋦·𝋠
Chinese
四萬二千一百二十
Chinese (financial)
肆萬貳仟壹佰貳拾
In other modern scripts
Eastern Arabic ٤٢١٢٠ Devanagari ४२१२० Bengali ৪২১২০ Tamil ௪௨௧௨௦ Thai ๔๒๑๒๐ Tibetan ༤༢༡༢༠ Khmer ៤២១២០ Lao ໔໒໑໒໐ Burmese ၄၂၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 42,120 = 6
e — Euler's number (e)
Digit 42,120 = 6
φ — Golden ratio (φ)
Digit 42,120 = 7
√2 — Pythagoras's (√2)
Digit 42,120 = 4
ln 2 — Natural log of 2
Digit 42,120 = 4
γ — Euler-Mascheroni (γ)
Digit 42,120 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42120, here are decompositions:

  • 19 + 42101 = 42120
  • 31 + 42089 = 42120
  • 37 + 42083 = 42120
  • 47 + 42073 = 42120
  • 59 + 42061 = 42120
  • 97 + 42023 = 42120
  • 101 + 42019 = 42120
  • 103 + 42017 = 42120

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Yyx
U+A488
Other letter (Lo)

UTF-8 encoding: EA 92 88 (3 bytes).

Hex color
#00A488
RGB(0, 164, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.136.

Address
0.0.164.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.136

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

Position in π

The digit sequence 42120 first appears in π at position 106,522 of the decimal expansion (the 106,522ordinal-suffix:nd 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.