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13362813 = 35127433
BaseRepresentation
bin110010111110…
…011001111101
3221010220100000
4302332121331
511410102223
61154224513
7221403432
oct62763175
927126300
1013362813
1175a7752
124585139
1329cb3b9
141abbb89
15128e543
hexcbe67d

13362813 has 24 divisors (see below), whose sum is σ = 20220928. Its totient is φ = 8817984.

The previous prime is 13362781. The next prime is 13362821. The reversal of 13362813 is 31826331.

It is a happy number.

13362813 is a `hidden beast` number, since 1 + 33 + 628 + 1 + 3 = 666.

It is not a de Polignac number, because 13362813 - 25 = 13362781 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30645 + ... + 31077.

Almost surely, 213362813 is an apocalyptic number.

It is an amenable number.

13362813 is a deficient number, since it is larger than the sum of its proper divisors (6858115).

13362813 is an equidigital number, since it uses as much as digits as its factorization.

13362813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13362813 is about 3655.5181575257. The cubic root of 13362813 is about 237.3008517089.

The spelling of 13362813 in words is "thirteen million, three hundred sixty-two thousand, eight hundred thirteen".

Divisors: 1 3 9 27 81 127 243 381 433 1143 1299 3429 3897 10287 11691 30861 35073 54991 105219 164973 494919 1484757 4454271 13362813