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148,520

148,520 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.).

148,520 (one hundred forty-eight thousand five hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 47 × 79. Its proper divisors sum to 197,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24428.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
25,841
Recamán's sequence
a(42,660) = 148,520
Square (n²)
22,058,190,400
Cube (n³)
3,276,082,438,208,000
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
57,408
Sum of prime factors
137

Primality

Prime factorization: 2 3 × 5 × 47 × 79

Nearest primes: 148,517 (−3) · 148,531 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 47 · 79 · 94 · 158 · 188 · 235 · 316 · 376 · 395 · 470 · 632 · 790 · 940 · 1580 · 1880 · 3160 · 3713 · 7426 · 14852 · 18565 · 29704 · 37130 · 74260 (half) · 148520
Aliquot sum (sum of proper divisors): 197,080
Factor pairs (a × b = 148,520)
1 × 148520
2 × 74260
4 × 37130
5 × 29704
8 × 18565
10 × 14852
20 × 7426
40 × 3713
47 × 3160
79 × 1880
94 × 1580
158 × 940
188 × 790
235 × 632
316 × 470
376 × 395
First multiples
148,520 · 297,040 (double) · 445,560 · 594,080 · 742,600 · 891,120 · 1,039,640 · 1,188,160 · 1,336,680 · 1,485,200

Sums & aliquot sequence

As consecutive integers: 29,702 + 29,703 + 29,704 + 29,705 + 29,706 9,275 + 9,276 + … + 9,290 3,137 + 3,138 + … + 3,183 1,841 + 1,842 + … + 1,919
Aliquot sequence: 148,520 197,080 281,720 352,240 665,552 623,986 410,222 205,114 198,086 141,514 72,506 51,814 37,034 18,520 23,240 37,240 65,360 — unresolved within range

Continued fraction of √n

√148,520 = [385; (2, 1, 1, 1, 1, 2, 1, 7, 1, 14, 1, 5, 2, 3, 4, 2, 2, 3, 3, 1, 1, 2, 1, 1, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand five hundred twenty
Ordinal
148520th
Binary
100100010000101000
Octal
442050
Hexadecimal
0x24428
Base64
AkQo
One's complement
4,294,818,775 (32-bit)
Scientific notation
1.4852 × 10⁵
As a duration
148,520 s = 1 day, 17 hours, 15 minutes, 20 seconds
In other bases
ternary (3) 21112201202
quaternary (4) 210100220
quinary (5) 14223040
senary (6) 3103332
septenary (7) 1156001
nonary (9) 245652
undecimal (11) a1649
duodecimal (12) 71b48
tridecimal (13) 527a8
tetradecimal (14) 3c1a8
pentadecimal (15) 2e015

As an angle

148,520° = 412 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμηφκʹ
Mayan (base 20)
𝋲·𝋫·𝋦·𝋠
Chinese
一十四萬八千五百二十
Chinese (financial)
壹拾肆萬捌仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٤٨٥٢٠ Devanagari १४८५२० Bengali ১৪৮৫২০ Tamil ௧௪௮௫௨௦ Thai ๑๔๘๕๒๐ Tibetan ༡༤༨༥༢༠ Khmer ១៤៨៥២០ Lao ໑໔໘໕໒໐ Burmese ၁၄၈၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148520, here are decompositions:

  • 3 + 148517 = 148520
  • 7 + 148513 = 148520
  • 19 + 148501 = 148520
  • 37 + 148483 = 148520
  • 109 + 148411 = 148520
  • 139 + 148381 = 148520
  • 181 + 148339 = 148520
  • 241 + 148279 = 148520

Showing the first eight; more decompositions exist.

Unicode codepoint
𤐨
CJK Unified Ideograph-24428
U+24428
Other letter (Lo)

UTF-8 encoding: F0 A4 90 A8 (4 bytes).

Hex color
#024428
RGB(2, 68, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.68.40.

Address
0.2.68.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.68.40

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 148,520 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.