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13312593 = 34753443
BaseRepresentation
bin110010110010…
…001001010001
3221001100110000
4302302021101
511402000333
61153200213
7221104140
oct62621121
927040400
1013312593
117572a48
124560069
1329b1598
141aa7757
15127e713
hexcb2251

13312593 has 40 divisors (see below), whose sum is σ = 23208768. Its totient is φ = 7446816.

The previous prime is 13312591. The next prime is 13312633. The reversal of 13312593 is 39521331.

It is a happy number.

It is not a de Polignac number, because 13312593 - 21 = 13312591 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13312591) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29830 + ... + 30272.

Almost surely, 213312593 is an apocalyptic number.

It is an amenable number.

13312593 is a deficient number, since it is larger than the sum of its proper divisors (9896175).

13312593 is an equidigital number, since it uses as much as digits as its factorization.

13312593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13312593 is about 3648.6426243194. The cubic root of 13312593 is about 237.0032045713.

The spelling of 13312593 in words is "thirteen million, three hundred twelve thousand, five hundred ninety-three".

Divisors: 1 3 7 9 21 27 53 63 81 159 189 371 443 477 567 1113 1329 1431 3101 3339 3987 4293 9303 10017 11961 23479 27909 30051 35883 70437 83727 164353 211311 251181 493059 633933 1479177 1901799 4437531 13312593