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13392580 = 225739173
BaseRepresentation
bin110011000101…
…101011000100
3221012102011111
4303011223010
511412030310
61155014404
7221556265
oct63055304
927172144
1013392580
117618053
12459a404
132a0bb06
141ac896c
15129828a
hexcc5ac4

13392580 has 24 divisors (see below), whose sum is σ = 28512792. Its totient is φ = 5283072.

The previous prime is 13392559. The next prime is 13392581. The reversal of 13392580 is 8529331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 13366336 = 162^2 + 3656^2 .

It is a super-2 number, since 2×133925802 = 358722398112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13392581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3127 + ... + 6046.

It is an arithmetic number, because the mean of its divisors is an integer number (1188033).

Almost surely, 213392580 is an apocalyptic number.

13392580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13392580 is an abundant number, since it is smaller than the sum of its proper divisors (15120212).

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

13392580 is a wasteful number, since it uses less digits than its factorization.

13392580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 13392580 is about 3659.5874084383. The cubic root of 13392580 is about 237.4769248126.

The spelling of 13392580 in words is "thirteen million, three hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 9173 18346 36692 45865 91730 183460 669629 1339258 2678516 3348145 6696290 13392580