Search a number
-
+
13117608 = 23327171531
BaseRepresentation
bin110010000010…
…100010101000
3220200102222100
4302002202220
511324230413
61145053400
7216332520
oct62024250
926612870
1013117608
11744a4a9
124487260
1329438ca
141a56680
151241a73
hexc828a8

13117608 has 96 divisors (see below), whose sum is σ = 43018560. Its totient is φ = 3525120.

The previous prime is 13117579. The next prime is 13117661. The reversal of 13117608 is 80671131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7803 + ... + 9333.

It is an arithmetic number, because the mean of its divisors is an integer number (448110).

Almost surely, 213117608 is an apocalyptic number.

13117608 is a gapful number since it is divisible by the number (18) 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 13117608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509280).

13117608 is an abundant number, since it is smaller than the sum of its proper divisors (29900952).

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

13117608 is a wasteful number, since it uses less digits than its factorization.

13117608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13117608 is about 3621.8238499408. The cubic root of 13117608 is about 235.8404072789.

Adding to 13117608 its reverse (80671131), we get a palindrome (93788739).

The spelling of 13117608 in words is "thirteen million, one hundred seventeen thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 1531 2142 2856 3062 4284 4593 6124 8568 9186 10717 12248 13779 18372 21434 26027 27558 32151 36744 42868 52054 55116 64302 78081 85736 96453 104108 110232 128604 156162 182189 192906 208216 234243 257208 312324 364378 385812 468486 546567 624648 728756 771624 936972 1093134 1457512 1639701 1873944 2186268 3279402 4372536 6558804 13117608