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13580328 = 2333791493
BaseRepresentation
bin110011110011…
…100000101000
3221112221201010
4303303200220
511434032303
61203023520
7223300536
oct63634050
927487633
1013580328
117736113
12466aba0
132a763c8
141b37156
1512d3c03
hexcf3828

13580328 has 32 divisors (see below), whose sum is σ = 34063200. Its totient is φ = 4511808.

The previous prime is 13580317. The next prime is 13580339. The reversal of 13580328 is 82308531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13580317) and next prime (13580339).

It is a junction number, because it is equal to n+sod(n) for n = 13580295 and 13580304.

It is an unprimeable number.

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, 8350 + ... + 9842.

It is an arithmetic number, because the mean of its divisors is an integer number (1064475).

Almost surely, 213580328 is an apocalyptic number.

It is an amenable number.

13580328 is an abundant number, since it is smaller than the sum of its proper divisors (20482872).

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

13580328 is a wasteful number, since it uses less digits than its factorization.

13580328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 13580328 is about 3685.1496577480. The cubic root of 13580328 is about 238.5814936275.

Adding to 13580328 its reverse (82308531), we get a palindrome (95888859).

The spelling of 13580328 in words is "thirteen million, five hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 379 758 1137 1493 1516 2274 2986 3032 4479 4548 5972 8958 9096 11944 17916 35832 565847 1131694 1697541 2263388 3395082 4526776 6790164 13580328