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13057992 = 2332181361
BaseRepresentation
bin110001110011…
…111111001000
3220120102012100
4301303333020
511320323432
61143513400
7215663643
oct61637710
926512170
1013057992
117409732
124458860
13292272c
141a3ca5a
15122e07c
hexc73fc8

13057992 has 24 divisors (see below), whose sum is σ = 35365590. Its totient is φ = 4352640.

The previous prime is 13057973. The next prime is 13058009. The reversal of 13057992 is 29975031.

It can be written as a sum of positive squares in only one way, i.e., 13003236 + 54756 = 3606^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×130579922 = 341022310144128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90609 + ... + 90752.

Almost surely, 213057992 is an apocalyptic number.

13057992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13057992 is an abundant number, since it is smaller than the sum of its proper divisors (22307598).

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

13057992 is a wasteful number, since it uses less digits than its factorization.

13057992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181373 (or 181366 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13057992 is about 3613.5843701234. The cubic root of 13057992 is about 235.4825875938.

The spelling of 13057992 in words is "thirteen million, fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181361 362722 544083 725444 1088166 1450888 1632249 2176332 3264498 4352664 6528996 13057992