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13392192 = 2631117373
BaseRepresentation
bin110011000101…
…100101000000
3221012101122010
4303011211000
511412022232
61155012520
7221555202
oct63054500
927171563
1013392192
117617830
12459a140
132a0b898
141ac8772
1512980cc
hexcc5940

13392192 has 112 divisors (see below), whose sum is σ = 41038272. Its totient is φ = 3809280.

The previous prime is 13392191. The next prime is 13392193. The reversal of 13392192 is 29129331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13392191) and next prime (13392193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13392191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35718 + ... + 36090.

Almost surely, 213392192 is an apocalyptic number.

13392192 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 13392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519136).

13392192 is an abundant number, since it is smaller than the sum of its proper divisors (27646080).

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

13392192 is a wasteful number, since it uses less digits than its factorization.

13392192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 13392192 is about 3659.5343966139. The cubic root of 13392192 is about 237.4746314547.

The spelling of 13392192 in words is "thirteen million, three hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 373 374 408 528 544 561 704 746 748 816 1056 1088 1119 1122 1492 1496 1632 2112 2238 2244 2984 2992 3264 4103 4476 4488 5968 5984 6341 8206 8952 8976 11936 11968 12309 12682 16412 17904 17952 19023 23872 24618 25364 32824 35808 35904 38046 49236 50728 65648 69751 71616 76092 98472 101456 131296 139502 152184 196944 202912 209253 262592 279004 304368 393888 405824 418506 558008 608736 787776 837012 1116016 1217472 1674024 2232032 3348048 4464064 6696096 13392192