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130394016 = 2533150919
BaseRepresentation
bin1111100010110…
…10011110100000
3100002100200222000
413301122132200
5231340102031
620534444000
73142221324
oct761323640
9302320860
10130394016
1167670a55
1237803600
1321025c2c
1413463984
15b6aa3e6
hex7c5a7a0

130394016 has 48 divisors (see below), whose sum is σ = 380318400. Its totient is φ = 43464384.

The previous prime is 130393973. The next prime is 130394039. The reversal of 130394016 is 610493031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74596 + ... + 76323.

It is an arithmetic number, because the mean of its divisors is an integer number (7923300).

Almost surely, 2130394016 is an apocalyptic number.

130394016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130394016 is an abundant number, since it is smaller than the sum of its proper divisors (249924384).

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

130394016 is a wasteful number, since it uses less digits than its factorization.

130394016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150938 (or 150924 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130394016 is about 11419.0199229181. The cubic root of 130394016 is about 507.0909818865.

The spelling of 130394016 in words is "one hundred thirty million, three hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 150919 301838 452757 603676 905514 1207352 1358271 1811028 2414704 2716542 3622056 4074813 4829408 5433084 7244112 8149626 10866168 14488224 16299252 21732336 32598504 43464672 65197008 130394016