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130813560 = 23325363371
BaseRepresentation
bin1111100110000…
…00111001111000
3100010011000110200
413303000321320
5231442013220
620551442200
73145616433
oct763007170
9303130420
10130813560
1167928189
1237986360
1321141b97
141353281a
15b73e890
hex7cc0e78

130813560 has 48 divisors (see below), whose sum is σ = 425145240. Its totient is φ = 34883520.

The previous prime is 130813511. The next prime is 130813567. The reversal of 130813560 is 65318031.

130813560 is a `hidden beast` number, since 1 + 308 + 1 + 356 + 0 = 666.

It is a super-2 number, since 2×1308135602 = 34224374959747200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130813567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181326 + ... + 182045.

Almost surely, 2130813560 is an apocalyptic number.

130813560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130813560 is an abundant number, since it is smaller than the sum of its proper divisors (294331680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130813560 is a wasteful number, since it uses less digits than its factorization.

130813560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363388 (or 363381 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130813560 is about 11437.3755730937. The cubic root of 130813560 is about 507.6342563419.

It can be divided in two parts, 13081 and 3560, that added together give a square (16641 = 1292).

The spelling of 130813560 in words is "one hundred thirty million, eight hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 363371 726742 1090113 1453484 1816855 2180226 2906968 3270339 3633710 4360452 5450565 6540678 7267420 8720904 10901130 13081356 14534840 16351695 21802260 26162712 32703390 43604520 65406780 130813560