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15116868 = 2234133797
BaseRepresentation
bin111001101010…
…101001000100
31001110000110000
4321222221010
512332214433
61300001300
7242330334
oct71525104
931400400
1015116868
118595588
125090230
1331938c0
1420170c4
1514d9113
hexe6aa44

15116868 has 120 divisors (see below), whose sum is σ = 44159192. Its totient is φ = 4478976.

The previous prime is 15116863. The next prime is 15116869. The reversal of 15116868 is 86861151.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 12830724 = 1512^2 + 3582^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15116861) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 155796 + ... + 155892.

Almost surely, 215116868 is an apocalyptic number.

15116868 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 15116868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22079596).

15116868 is an abundant number, since it is smaller than the sum of its proper divisors (29042324).

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

15116868 is a wasteful number, since it uses less digits than its factorization.

15116868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 15116868 is about 3888.0416664434. The cubic root of 15116868 is about 247.2600429132.

The spelling of 15116868 in words is "fifteen million, one hundred sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 97 108 111 117 148 156 162 194 222 234 291 324 333 351 388 444 468 481 582 666 702 873 962 999 1053 1164 1261 1332 1404 1443 1746 1924 1998 2106 2522 2619 2886 2997 3492 3589 3783 3996 4212 4329 5044 5238 5772 5994 7178 7566 7857 8658 10476 10767 11349 11988 12987 14356 15132 15714 17316 21534 22698 25974 31428 32301 34047 38961 43068 45396 46657 51948 64602 68094 77922 93314 96903 102141 129204 136188 139971 155844 186628 193806 204282 279942 290709 387612 408564 419913 559884 581418 839826 1162836 1259739 1679652 2519478 3779217 5038956 7558434 15116868