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13249368 = 23321116729
BaseRepresentation
bin110010100010…
…101101011000
3220221010201100
4302202231120
511342434433
61151551400
7220421616
oct62425530
926833640
1013249368
11752a4a0
12452b560
13298b882
141a8c6b6
15126ab13
hexca2b58

13249368 has 48 divisors (see below), whose sum is σ = 39148200. Its totient is φ = 4014720.

The previous prime is 13249361. The next prime is 13249393. The reversal of 13249368 is 86394231.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249361) 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 11 ways as a sum of consecutive naturals, for example, 7573 + ... + 9156.

Almost surely, 213249368 is an apocalyptic number.

13249368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13249368 is an abundant number, since it is smaller than the sum of its proper divisors (25898832).

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

13249368 is a wasteful number, since it uses less digits than its factorization.

13249368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16745 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13249368 is about 3639.9681317286. The cubic root of 13249368 is about 236.6274122115.

The spelling of 13249368 in words is "thirteen million, two hundred forty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 16729 33458 50187 66916 100374 133832 150561 184019 200748 301122 368038 401496 552057 602244 736076 1104114 1204488 1472152 1656171 2208228 3312342 4416456 6624684 13249368