Number

150

150 is a composite number, even, a calendar year.

150 (one hundred fifty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3 × 5². Its proper divisors sum to 222, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CL and in binary, 10010110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Preferred Number Recamán's Sequence Semiperfect Number Year

Interestingness

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8 notable facts · grade A

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Historical context — 150 AD

Calendar year

Year 150 (CL) was a common year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 150 BC

Calendar year

Year 150 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 150
Ended on: Thursday
December 31, 150
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 150s
150–159
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,876
1876 years before 2026.

In other calendars

Hebrew: 3910 / 3911 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 693 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 142 / 143 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 72 / 71 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 8 bits
Reversed: 51
Recamán's sequence: a(2,652) = 150
Square (n²): 22,500
Cube (n³): 3,375,000
Divisor count: 12
σ(n) — sum of divisors: 372
φ(n) — Euler's totient: 40
Sum of prime factors: 15

Primality

Prime factorization: 2 × 3 × 5 ²

Nearest primes: 149 (−1) · 151 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 25 · 30 · 50 · 75 (half) · 150

Aliquot sum (sum of proper divisors): 222

Factor pairs (a × b = 150)

1 × 150

2 × 75

3 × 50

5 × 30

6 × 25

10 × 15

First multiples

150 · 300 (double) · 450 · 600 · 750 · 900 · 1,050 · 1,200 · 1,350 · 1,500

Sums & aliquot sequence

As consecutive integers: 49 + 50 + 51 36 + 37 + 38 + 39 28 + 29 + 30 + 31 + 32 7 + 8 + … + 18

Aliquot sequence: 150 → 222 → 234 → 312 → 528 → 960 → 2,088 → 3,762 → 5,598 → 6,570 → 10,746 → 13,254 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 — unresolved within range

Continued fraction of √n

√150 = [12; (4, 24)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred fifty
Ordinal: 150th
Roman numeral: CL
Binary: 10010110
Octal: 226
Hexadecimal: 0x96
Base64: lg==
One's complement: 105 (8-bit)
Scientific notation: 1.5 × 10²
As a duration: 150 s = 2 minutes, 30 seconds

In other bases

ternary (3) 12120

quaternary (4) 2112

quinary (5) 1100

senary (6) 410

septenary (7) 303

nonary (9) 176

undecimal (11) 127

duodecimal (12) 106

tridecimal (13) b7

tetradecimal (14) aa

pentadecimal (15) a0

Palindromic in base 4, base 7

As an angle

150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ρνʹ
Mayan (base 20): 𝋧·𝋪
Chinese: 一百五十
Chinese (financial): 壹佰伍拾

In other modern scripts

Eastern Arabic ١٥٠ Devanagari १५० Bengali ১৫০ Tamil ௧௫௦ Thai ๑๕๐ Tibetan ༡༥༠ Khmer ១៥០ Lao ໑໕໐ Burmese ၁၅၀

Digit at this position in famous constants

π — Pi (π): Digit 150 = 2
e — Euler's number (e): Digit 150 = 6
φ — Golden ratio (φ): Digit 150 = 6
√2 — Pythagoras's (√2): Digit 150 = 9
ln 2 — Natural log of 2: Digit 150 = 3
γ — Euler-Mascheroni (γ): Digit 150 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 150, here are decompositions:

11 + 139 = 150
13 + 137 = 150
19 + 131 = 150
23 + 127 = 150
37 + 113 = 150
41 + 109 = 150
43 + 107 = 150
47 + 103 = 150

Showing the first eight; more decompositions exist.

Unicode codepoint

Start Of Guarded Area

U+0096

Control character (Cc)

UTF-8 encoding: C2 96 (2 bytes).

Lookup U+0096 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000096

RGB(0, 0, 150)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.150.

Address: 0.0.0.150
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.150

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

Musical pitch

Heard as a frequency, 150 Hz is closest to:

Concert pitch (A4 = 440 Hz): D3 (146.8 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): D♯3 (152.2 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): D♯3 (146.7 Hz, +38¢)

Food additive (E-number)

On an ingredients label, E150 is Caramel colour, a food colour — the brown of colas and gravy browning.

E-number reference (Wikipedia) ↗

Angle

150° is 5π/6 radians.