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13904368 = 241723197
BaseRepresentation
bin110101000010…
…100111110000
3222011102012121
4311002213300
512024414433
61214004024
7226120342
oct65024760
928142177
1013904368
117937615
1247a6614
132b5aa4a
141bbd292
151349c2d
hexd429f0

13904368 has 60 divisors (see below), whose sum is σ = 29845312. Its totient is φ = 6266880.

The previous prime is 13904347. The next prime is 13904377. The reversal of 13904368 is 86340931.

13904368 = T152 + T153 + ... + T442.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 143296 + ... + 143392.

Almost surely, 213904368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922656).

13904368 is an abundant number, since it is smaller than the sum of its proper divisors (15940944).

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

13904368 is a wasteful number, since it uses less digits than its factorization.

13904368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13904368 is about 3728.8561248726. The cubic root of 13904368 is about 240.4641941960.

The spelling of 13904368 in words is "thirteen million, nine hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 97 124 136 194 248 272 289 388 496 527 578 776 1054 1156 1552 1649 2108 2312 3007 3298 4216 4624 6014 6596 8432 8959 12028 13192 17918 24056 26384 28033 35836 48112 51119 56066 71672 102238 112132 143344 204476 224264 408952 448528 817904 869023 1738046 3476092 6952184 13904368