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Number

1,410

1,410 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 1410 AD

Calendar year

Year 1410 (MCDX) was a common year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
52
Started on
Monday
January 1, 1410
Ended on
Monday
December 31, 1410
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1410s
1410–1419
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
616
616 years before 2026.

In other calendars

Hebrew
5170 / 5171 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
812 / 813 AH
Lunar calendar; year spans differ from Gregorian.
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
1953 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
788 / 789 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1402 / 1403 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1332 / 1331 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
141
Recamán's sequence
a(8,308) = 1,410
Square (n²)
1,988,100
Cube (n³)
2,803,221,000
Divisor count
16
σ(n) — sum of divisors
3,456
φ(n) — Euler's totient
368
Sum of prime factors
57

Primality

Prime factorization: 2 × 3 × 5 × 47

Nearest primes: 1,409 (−1) · 1,423 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 47 · 94 · 141 · 235 · 282 · 470 · 705 (half) · 1410
Aliquot sum (sum of proper divisors): 2,046
Factor pairs (a × b = 1,410)
1 × 1410
2 × 705
3 × 470
5 × 282
6 × 235
10 × 141
15 × 94
30 × 47
First multiples
1,410 · 2,820 (double) · 4,230 · 5,640 · 7,050 · 8,460 · 9,870 · 11,280 · 12,690 · 14,100

Sums & aliquot sequence

As consecutive integers: 469 + 470 + 471 351 + 352 + 353 + 354 280 + 281 + 282 + 283 + 284 112 + 113 + … + 123
Aliquot sequence: 1,410 2,046 2,562 3,390 4,818 5,838 7,602 9,870 17,778 17,790 24,978 27,438 30,882 30,894 34,386 40,782 52,530 — unresolved within range

Representations

In words
one thousand four hundred ten
Ordinal
1410th
Roman numeral
MCDX
Binary
10110000010
Octal
2602
Hexadecimal
0x582
Base64
BYI=
One's complement
64,125 (16-bit)
In other bases
ternary (3) 1221020
quaternary (4) 112002
quinary (5) 21120
senary (6) 10310
septenary (7) 4053
nonary (9) 1836
undecimal (11) 1072
duodecimal (12) 996
tridecimal (13) 846
tetradecimal (14) 72a
pentadecimal (15) 640

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵αυιʹ
Mayan (base 20)
𝋣·𝋪·𝋪
Chinese
一千四百一十
Chinese (financial)
壹仟肆佰壹拾
In other modern scripts
Eastern Arabic ١٤١٠ Devanagari १४१० Bengali ১৪১০ Tamil ௧௪௧௦ Thai ๑๔๑๐ Tibetan ༡༤༡༠ Khmer ១៤១០ Lao ໑໔໑໐ Burmese ၁၄၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,410 = 8
e — Euler's number (e)
Digit 1,410 = 0
φ — Golden ratio (φ)
Digit 1,410 = 3
√2 — Pythagoras's (√2)
Digit 1,410 = 9
ln 2 — Natural log of 2
Digit 1,410 = 1
γ — Euler-Mascheroni (γ)
Digit 1,410 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1410, here are decompositions:

  • 11 + 1399 = 1410
  • 29 + 1381 = 1410
  • 37 + 1373 = 1410
  • 43 + 1367 = 1410
  • 83 + 1327 = 1410
  • 89 + 1321 = 1410
  • 103 + 1307 = 1410
  • 107 + 1303 = 1410

Showing the first eight; more decompositions exist.

Unicode codepoint
ւ
Armenian Small Letter Yiwn
U+0582
Lowercase letter (Ll)

UTF-8 encoding: D6 82 (2 bytes).

Hex color
#000582
RGB(0, 5, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.130.

Address
0.0.5.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.130

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001410
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1410 first appears in π at position 7,766 of the decimal expansion (the 7,766ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.