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148,200

148,200 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.).

148,200 (one hundred forty-eight thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 13 × 19. Its proper divisors sum to 372,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x242E8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
2,841
Recamán's sequence
a(212,016) = 148,200
Square (n²)
21,963,240,000
Cube (n³)
3,254,952,168,000,000
Divisor count
96
σ(n) — sum of divisors
520,800
φ(n) — Euler's totient
34,560
Sum of prime factors
51

Primality

Prime factorization: 2 3 × 3 × 5 2 × 13 × 19

Nearest primes: 148,199 (−1) · 148,201 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 19 · 20 · 24 · 25 · 26 · 30 · 38 · 39 · 40 · 50 · 52 · 57 · 60 · 65 · 75 · 76 · 78 · 95 · 100 · 104 · 114 · 120 · 130 · 150 · 152 · 156 · 190 · 195 · 200 · 228 · 247 · 260 · 285 · 300 · 312 · 325 · 380 · 390 · 456 · 475 · 494 · 520 · 570 · 600 · 650 · 741 · 760 · 780 · 950 · 975 · 988 · 1140 · 1235 · 1300 · 1425 · 1482 · 1560 · 1900 · 1950 · 1976 · 2280 · 2470 · 2600 · 2850 · 2964 · 3705 · 3800 · 3900 · 4940 · 5700 · 5928 · 6175 · 7410 · 7800 · 9880 · 11400 · 12350 · 14820 · 18525 · 24700 · 29640 · 37050 · 49400 · 74100 (half) · 148200
Aliquot sum (sum of proper divisors): 372,600
Factor pairs (a × b = 148,200)
1 × 148200
2 × 74100
3 × 49400
4 × 37050
5 × 29640
6 × 24700
8 × 18525
10 × 14820
12 × 12350
13 × 11400
15 × 9880
19 × 7800
20 × 7410
24 × 6175
25 × 5928
26 × 5700
30 × 4940
38 × 3900
39 × 3800
40 × 3705
50 × 2964
52 × 2850
57 × 2600
60 × 2470
65 × 2280
75 × 1976
76 × 1950
78 × 1900
95 × 1560
100 × 1482
104 × 1425
114 × 1300
120 × 1235
130 × 1140
150 × 988
152 × 975
156 × 950
190 × 780
195 × 760
200 × 741
228 × 650
247 × 600
260 × 570
285 × 520
300 × 494
312 × 475
325 × 456
380 × 390
First multiples
148,200 · 296,400 (double) · 444,600 · 592,800 · 741,000 · 889,200 · 1,037,400 · 1,185,600 · 1,333,800 · 1,482,000

Sums & aliquot sequence

As consecutive integers: 49,399 + 49,400 + 49,401 29,638 + 29,639 + 29,640 + 29,641 + 29,642 11,394 + 11,395 + … + 11,406 9,873 + 9,874 + … + 9,887
Aliquot sequence: 148,200 372,600 977,760 2,874,816 7,268,928 13,317,264 26,263,536 46,804,704 79,387,824 139,169,616 241,502,448 460,924,816 520,687,270 426,213,818 213,106,912 206,447,384 252,626,056 — unresolved within range

Continued fraction of √n

√148,200 = [384; (1, 29, 1, 3, 1, 29, 1, 768)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand two hundred
Ordinal
148200th
Binary
100100001011101000
Octal
441350
Hexadecimal
0x242E8
Base64
AkLo
One's complement
4,294,819,095 (32-bit)
Scientific notation
1.482 × 10⁵
As a duration
148,200 s = 1 day, 17 hours, 10 minutes
In other bases
ternary (3) 21112021220
quaternary (4) 210023220
quinary (5) 14220300
senary (6) 3102040
septenary (7) 1155033
nonary (9) 245256
undecimal (11) a1388
duodecimal (12) 71920
tridecimal (13) 525c0
tetradecimal (14) 3c01a
pentadecimal (15) 2dda0

As an angle

148,200° = 411 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρμησʹ
Mayan (base 20)
𝋲·𝋪·𝋪·𝋠
Chinese
一十四萬八千二百
Chinese (financial)
壹拾肆萬捌仟貳佰
In other modern scripts
Eastern Arabic ١٤٨٢٠٠ Devanagari १४८२०० Bengali ১৪৮২০০ Tamil ௧௪௮௨௦௦ Thai ๑๔๘๒๐๐ Tibetan ༡༤༨༢༠༠ Khmer ១៤៨២០០ Lao ໑໔໘໒໐໐ Burmese ၁၄၈၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148200, here are decompositions:

  • 7 + 148193 = 148200
  • 29 + 148171 = 148200
  • 43 + 148157 = 148200
  • 47 + 148153 = 148200
  • 53 + 148147 = 148200
  • 61 + 148139 = 148200
  • 109 + 148091 = 148200
  • 127 + 148073 = 148200

Showing the first eight; more decompositions exist.

Unicode codepoint
𤋨
CJK Unified Ideograph-242E8
U+242E8
Other letter (Lo)

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

Hex color
#0242E8
RGB(2, 66, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.232.

Address
0.2.66.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.232

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 148,200 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.