Live analysis

1,013,740

1,013,740 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.).

1,013,740 (one million thirteen thousand seven hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 13 × 557. Its proper divisors sum to 1,611,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77EC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,728 1,013,729 1,013,730 1,013,731 1,013,732 1,013,733 1,013,734 1,013,735 1,013,736 1,013,737 1,013,738 1,013,739 1,013,740 1,013,741 1,013,742 1,013,743 1,013,744 1,013,745 1,013,746 1,013,747 1,013,748 1,013,749 1,013,750 1,013,751 1,013,752

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 473,101
Square (n²): 1,027,668,787,600
Cube (n³): 1,041,788,956,741,624,000
Divisor count: 48
σ(n) — sum of divisors: 2,624,832
φ(n) — Euler's totient: 320,256
Sum of prime factors: 586

Primality

Prime factorization: 2 ² × 5 × 7 × 13 × 557

Nearest primes: 1,013,729 (−11) · 1,013,741 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 52 · 65 · 70 · 91 · 130 · 140 · 182 · 260 · 364 · 455 · 557 · 910 · 1114 · 1820 · 2228 · 2785 · 3899 · 5570 · 7241 · 7798 · 11140 · 14482 · 15596 · 19495 · 28964 · 36205 · 38990 · 50687 · 72410 · 77980 · 101374 · 144820 · 202748 · 253435 · 506870 (half) · 1013740

Aliquot sum (sum of proper divisors): 1,611,092

Factor pairs (a × b = 1,013,740)

1 × 1013740

2 × 506870

4 × 253435

5 × 202748

7 × 144820

10 × 101374

13 × 77980

14 × 72410

20 × 50687

26 × 38990

28 × 36205

35 × 28964

52 × 19495

65 × 15596

70 × 14482

91 × 11140

130 × 7798

140 × 7241

182 × 5570

260 × 3899

364 × 2785

455 × 2228

557 × 1820

910 × 1114

First multiples

1,013,740 · 2,027,480 (double) · 3,041,220 · 4,054,960 · 5,068,700 · 6,082,440 · 7,096,180 · 8,109,920 · 9,123,660 · 10,137,400

Sums & aliquot sequence

As consecutive integers: 202,746 + 202,747 + 202,748 + 202,749 + 202,750 144,817 + 144,818 + … + 144,823 126,714 + 126,715 + … + 126,721 77,974 + 77,975 + … + 77,986

Aliquot sequence: 1,013,740 → 1,611,092 → 1,640,044 → 1,640,100 → 4,359,516 → 7,266,084 → 12,110,364 → 24,392,676 → 46,570,524 → 99,366,372 → 195,054,748 → 195,054,804 → 422,103,276 → 797,306,916 → 1,342,422,620 → 2,235,075,220 → 3,224,896,640 — unresolved within range

Continued fraction of √n

√1,013,740 = [1006; (1, 5, 1, 1, 13, 1, 18, 2, 3, 7, 2, 2, 1, 502, 1, 2, 2, 7, 3, 2, 18, 1, 13, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seven hundred forty
Ordinal: 1013740th
Binary: 11110111011111101100
Octal: 3673754
Hexadecimal: 0xF77EC
Base64: D3fs
One's complement: 4,293,953,555 (32-bit)
Scientific notation: 1.01374 × 10⁶
As a duration: 1,013,740 s = 11 days, 17 hours, 35 minutes, 40 seconds

In other bases

ternary (3) 1220111120221

quaternary (4) 3313133230

quinary (5) 224414430

senary (6) 33421124

septenary (7) 11421340

nonary (9) 1814527

undecimal (11) 632702

duodecimal (12) 40a7a4

tridecimal (13) 296560

tetradecimal (14) 1c5620

pentadecimal (15) 15057a

As an angle

1,013,740° = 2,815 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千七百四十
Chinese (financial): 壹佰零壹萬參仟柒佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٧٤٠ Devanagari १०१३७४० Bengali ১০১৩৭৪০ Tamil ௧௦௧௩௭௪௦ Thai ๑๐๑๓๗๔๐ Tibetan ༡༠༡༣༧༤༠ Khmer ១០១៣៧៤០ Lao ໑໐໑໓໗໔໐ Burmese ၁၀၁၃၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013740, here are decompositions:

11 + 1013729 = 1013740
23 + 1013717 = 1013740
29 + 1013711 = 1013740
41 + 1013699 = 1013740
53 + 1013687 = 1013740
59 + 1013681 = 1013740
113 + 1013627 = 1013740
131 + 1013609 = 1013740

Showing the first eight; more decompositions exist.

Hex color

#0F77EC

RGB(15, 119, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.236.

Address: 0.15.119.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3740 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3740-10-01 (MMDYYYY (US, single-digit day))
3740-01-10 (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 1,013,740 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 US1,013,740 on Google Patents ↗ Look up on USPTO ↗