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13396392 = 2332434327
BaseRepresentation
bin110011000110…
…100110101000
3221012121101200
4303012212220
511412141032
61155044200
7221603352
oct63064650
927177350
1013396392
11761a9a9
1245a0660
132a10779
141aca0d2
15129947c
hexcc69a8

13396392 has 48 divisors (see below), whose sum is σ = 37134240. Its totient is φ = 4360608.

The previous prime is 13396367. The next prime is 13396421. The reversal of 13396392 is 29369331.

It is a happy number.

13396392 is a `hidden beast` number, since 13 + 3 + 9 + 639 + 2 = 666.

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 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 11 ways as a sum of consecutive naturals, for example, 933 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (773630).

Almost surely, 213396392 is an apocalyptic number.

13396392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13396392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567120).

13396392 is an abundant number, since it is smaller than the sum of its proper divisors (23737848).

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

13396392 is a wasteful number, since it uses less digits than its factorization.

13396392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4375 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 13396392 is about 3660.1081951221. The cubic root of 13396392 is about 237.4994541077.

The spelling of 13396392 in words is "thirteen million, three hundred ninety-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4327 8654 12981 17308 25962 34616 38943 51924 77886 103848 155772 186061 311544 372122 558183 744244 1116366 1488488 1674549 2232732 3349098 4465464 6698196 13396392