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13117392 = 2432711283
BaseRepresentation
bin110010000010…
…011111010000
3220200102200100
4302002133100
511324224032
61145052400
7216332061
oct62023720
926612610
1013117392
11744a322
124487100
132943792
141a56568
15124197c
hexc827d0

13117392 has 60 divisors (see below), whose sum is σ = 37256544. Its totient is φ = 4307520.

The previous prime is 13117381. The next prime is 13117393. The reversal of 13117392 is 29371131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9583 + ... + 10865.

Almost surely, 213117392 is an apocalyptic number.

13117392 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 13117392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628272).

13117392 is an abundant number, since it is smaller than the sum of its proper divisors (24139152).

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

13117392 is a wasteful number, since it uses less digits than its factorization.

13117392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1359 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 13117392 is about 3621.7940305876. The cubic root of 13117392 is about 235.8391127897.

The spelling of 13117392 in words is "thirteen million, one hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1283 1704 2556 2566 3408 3849 5112 5132 7698 10224 10264 11547 15396 20528 23094 30792 46188 61584 91093 92376 182186 184752 273279 364372 546558 728744 819837 1093116 1457488 1639674 2186232 3279348 4372464 6558696 13117392