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13108160 = 2651323137
BaseRepresentation
bin110010000000…
…001111000000
3220122222000102
4302000033000
511323430120
61144541532
7216263132
oct62001700
926588012
1013108160
11744339a
1244818a8
13293c510
141a53052
15123dd75
hexc803c0

13108160 has 112 divisors (see below), whose sum is σ = 35332416. Its totient is φ = 4595712.

The previous prime is 13108153. The next prime is 13108171. The reversal of 13108160 is 6180131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95612 + ... + 95748.

It is an arithmetic number, because the mean of its divisors is an integer number (315468).

Almost surely, 213108160 is an apocalyptic number.

13108160 is a gapful number since it is divisible by the number (10) 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 13108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666208).

13108160 is an abundant number, since it is smaller than the sum of its proper divisors (22224256).

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

13108160 is a wasteful number, since it uses less digits than its factorization.

13108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 13108160 is about 3620.5192997690. The cubic root of 13108160 is about 235.7837720717.

Adding to 13108160 its reverse (6180131), we get a palindrome (19288291).

The spelling of 13108160 in words is "thirteen million, one hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 137 160 184 208 230 260 274 299 320 368 416 460 520 548 598 685 736 832 920 1040 1096 1196 1370 1472 1495 1781 1840 2080 2192 2392 2740 2990 3151 3562 3680 4160 4384 4784 5480 5980 6302 7124 7360 8768 8905 9568 10960 11960 12604 14248 15755 17810 19136 21920 23920 25208 28496 31510 35620 40963 43840 47840 50416 56992 63020 71240 81926 95680 100832 113984 126040 142480 163852 201664 204815 252080 284960 327704 409630 504160 569920 655408 819260 1008320 1310816 1638520 2621632 3277040 6554080 13108160