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130162564 = 2274648663
BaseRepresentation
bin1111100001000…
…01111110000100
3100001220221110201
413300201332010
5231310200224
620525500244
73140235460
oct760417604
9301827421
10130162564
1167523074
1237711684
1320c7478c
14134034a0
15b661a44
hex7c21f84

130162564 has 12 divisors (see below), whose sum is σ = 260325184. Its totient is φ = 55783944.

The previous prime is 130162561. The next prime is 130162573. The reversal of 130162564 is 465261031.

130162564 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 4648663 = 130162564 / (1 + 3 + 0 + 1 + 6 + 2 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (130162561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2324304 + ... + 2324359.

Almost surely, 2130162564 is an apocalyptic number.

130162564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130162564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

130162564 is a wasteful number, since it uses less digits than its factorization.

130162564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648674 (or 4648672 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 130162564 is about 11408.8809267167. The cubic root of 130162564 is about 506.7907719609.

The spelling of 130162564 in words is "one hundred thirty million, one hundred sixty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 4648663 9297326 18594652 32540641 65081282 130162564