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145,520

145,520 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.).

145,520 (one hundred forty-five thousand five hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 107. Its proper divisors sum to 216,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23870.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
25,541
Recamán's sequence
a(217,376) = 145,520
Square (n²)
21,176,070,400
Cube (n³)
3,081,541,764,608,000
Divisor count
40
σ(n) — sum of divisors
361,584
φ(n) — Euler's totient
54,272
Sum of prime factors
137

Primality

Prime factorization: 2 4 × 5 × 17 × 107

Nearest primes: 145,517 (−3) · 145,531 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 107 · 136 · 170 · 214 · 272 · 340 · 428 · 535 · 680 · 856 · 1070 · 1360 · 1712 · 1819 · 2140 · 3638 · 4280 · 7276 · 8560 · 9095 · 14552 · 18190 · 29104 · 36380 · 72760 (half) · 145520
Aliquot sum (sum of proper divisors): 216,064
Factor pairs (a × b = 145,520)
1 × 145520
2 × 72760
4 × 36380
5 × 29104
8 × 18190
10 × 14552
16 × 9095
17 × 8560
20 × 7276
34 × 4280
40 × 3638
68 × 2140
80 × 1819
85 × 1712
107 × 1360
136 × 1070
170 × 856
214 × 680
272 × 535
340 × 428
First multiples
145,520 · 291,040 (double) · 436,560 · 582,080 · 727,600 · 873,120 · 1,018,640 · 1,164,160 · 1,309,680 · 1,455,200

Sums & aliquot sequence

As consecutive integers: 29,102 + 29,103 + 29,104 + 29,105 + 29,106 8,552 + 8,553 + … + 8,568 4,532 + 4,533 + … + 4,563 1,670 + 1,671 + … + 1,754
Aliquot sequence: 145,520 216,064 217,900 255,160 319,040 441,436 331,084 292,980 573,900 1,087,452 1,732,148 1,574,764 1,301,060 1,431,208 1,448,792 1,297,168 1,515,152 — unresolved within range

Continued fraction of √n

√145,520 = [381; (2, 8, 13, 1, 3, 15, 3, 5, 1, 46, 1, 5, 3, 15, 3, 1, 13, 8, 2, 762)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand five hundred twenty
Ordinal
145520th
Binary
100011100001110000
Octal
434160
Hexadecimal
0x23870
Base64
Ajhw
One's complement
4,294,821,775 (32-bit)
Scientific notation
1.4552 × 10⁵
As a duration
145,520 s = 1 day, 16 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 21101121122
quaternary (4) 203201300
quinary (5) 14124040
senary (6) 3041412
septenary (7) 1144154
nonary (9) 241548
undecimal (11) 9a371
duodecimal (12) 70268
tridecimal (13) 5130b
tetradecimal (14) 3b064
pentadecimal (15) 2d1b5

As an angle

145,520° = 404 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμεφκʹ
Mayan (base 20)
𝋲·𝋣·𝋰·𝋠
Chinese
一十四萬五千五百二十
Chinese (financial)
壹拾肆萬伍仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٤٥٥٢٠ Devanagari १४५५२० Bengali ১৪৫৫২০ Tamil ௧௪௫௫௨௦ Thai ๑๔๕๕๒๐ Tibetan ༡༤༥༥༢༠ Khmer ១៤៥៥២០ Lao ໑໔໕໕໒໐ Burmese ၁၄၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145520, here are decompositions:

  • 3 + 145517 = 145520
  • 7 + 145513 = 145520
  • 19 + 145501 = 145520
  • 43 + 145477 = 145520
  • 61 + 145459 = 145520
  • 79 + 145441 = 145520
  • 97 + 145423 = 145520
  • 103 + 145417 = 145520

Showing the first eight; more decompositions exist.

Unicode codepoint
𣡰
CJK Unified Ideograph-23870
U+23870
Other letter (Lo)

UTF-8 encoding: F0 A3 A1 B0 (4 bytes).

Hex color
#023870
RGB(2, 56, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.56.112.

Address
0.2.56.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.56.112

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 145,520 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.