Live analysis

1,013,200

1,013,200 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.).

1,013,200 (one million thirteen thousand two hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 17 × 149. Its proper divisors sum to 1,581,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75D0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,188 1,013,189 1,013,190 1,013,191 1,013,192 1,013,193 1,013,194 1,013,195 1,013,196 1,013,197 1,013,198 1,013,199 1,013,200 1,013,201 1,013,202 1,013,203 1,013,204 1,013,205 1,013,206 1,013,207 1,013,208 1,013,209 1,013,210 1,013,211 1,013,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 23,101
Square (n²): 1,026,574,240,000
Cube (n³): 1,040,125,019,968,000,000
Divisor count: 60
σ(n) — sum of divisors: 2,594,700
φ(n) — Euler's totient: 378,880
Sum of prime factors: 184

Primality

Prime factorization: 2 ⁴ × 5 ² × 17 × 149

Nearest primes: 1,013,197 (−3) · 1,013,203 (+3)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 34 · 40 · 50 · 68 · 80 · 85 · 100 · 136 · 149 · 170 · 200 · 272 · 298 · 340 · 400 · 425 · 596 · 680 · 745 · 850 · 1192 · 1360 · 1490 · 1700 · 2384 · 2533 · 2980 · 3400 · 3725 · 5066 · 5960 · 6800 · 7450 · 10132 · 11920 · 12665 · 14900 · 20264 · 25330 · 29800 · 40528 · 50660 · 59600 · 63325 · 101320 · 126650 · 202640 · 253300 · 506600 (half) · 1013200

Aliquot sum (sum of proper divisors): 1,581,500

Factor pairs (a × b = 1,013,200)

1 × 1013200

2 × 506600

4 × 253300

5 × 202640

8 × 126650

10 × 101320

16 × 63325

17 × 59600

20 × 50660

25 × 40528

34 × 29800

40 × 25330

50 × 20264

68 × 14900

80 × 12665

85 × 11920

100 × 10132

136 × 7450

149 × 6800

170 × 5960

200 × 5066

272 × 3725

298 × 3400

340 × 2980

400 × 2533

425 × 2384

596 × 1700

680 × 1490

745 × 1360

850 × 1192

First multiples

1,013,200 · 2,026,400 (double) · 3,039,600 · 4,052,800 · 5,066,000 · 6,079,200 · 7,092,400 · 8,105,600 · 9,118,800 · 10,132,000

Sums & aliquot sequence

As a sum of two squares: 72² + 1,004² = 212² + 984² = 276² + 968² = 360² + 940²

As consecutive integers: 202,638 + 202,639 + 202,640 + 202,641 + 202,642 59,592 + 59,593 + … + 59,608 40,516 + 40,517 + … + 40,540 31,647 + 31,648 + … + 31,678

Aliquot sequence: 1,013,200 → 1,581,500 → 1,873,588 → 1,454,604 → 2,019,636 → 3,085,646 → 1,542,826 → 834,074 → 417,040 → 629,768 → 551,062 → 275,534 → 196,834 → 140,126 → 100,114 → 71,534 → 38,194 — unresolved within range

Continued fraction of √n

√1,013,200 = [1006; (1, 1, 2, 1, 2, 4, 2, 1, 2, 1, 1, 2012)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand two hundred
Ordinal: 1013200th
Binary: 11110111010111010000
Octal: 3672720
Hexadecimal: 0xF75D0
Base64: D3XQ
One's complement: 4,293,954,095 (32-bit)
Scientific notation: 1.0132 × 10⁶
As a duration: 1,013,200 s = 11 days, 17 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 1220110211221

quaternary (4) 3313113100

quinary (5) 224410300

senary (6) 33414424

septenary (7) 11416636

nonary (9) 1813757

undecimal (11) 632261

duodecimal (12) 40a414

tridecimal (13) 296236

tetradecimal (14) 1c5356

pentadecimal (15) 15031a

As an angle

1,013,200° = 2,814 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢
Chinese: 一百零一萬三千二百
Chinese (financial): 壹佰零壹萬參仟貳佰

In other modern scripts

Eastern Arabic ١٠١٣٢٠٠ Devanagari १०१३२०० Bengali ১০১৩২০০ Tamil ௧௦௧௩௨௦௦ Thai ๑๐๑๓๒๐๐ Tibetan ༡༠༡༣༢༠༠ Khmer ១០១៣២០០ Lao ໑໐໑໓໒໐໐ Burmese ၁၀၁၃၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013200, here are decompositions:

3 + 1013197 = 1013200
47 + 1013153 = 1013200
137 + 1013063 = 1013200
191 + 1013009 = 1013200
197 + 1013003 = 1013200
233 + 1012967 = 1013200
269 + 1012931 = 1013200
281 + 1012919 = 1013200

Showing the first eight; more decompositions exist.

Hex color

#0F75D0

RGB(15, 117, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.208.

Address: 0.15.117.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3200 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3200-10-01 (MMDYYYY (US, single-digit day))
3200-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,200 and was likely granted around 1911.

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

Look up US1,013,200 on Google Patents ↗ Look up on USPTO ↗