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13104072 = 23331931103
BaseRepresentation
bin110001111111…
…001111001000
3220122202102000
4301333033020
511323312242
61144511000
7216245202
oct61771710
926582360
1013104072
117440313
12447b460
13293a6b7
141a51772
15123ca4c
hexc7f3c8

13104072 has 128 divisors (see below), whose sum is σ = 39936000. Its totient is φ = 3965760.

The previous prime is 13104037. The next prime is 13104073. The reversal of 13104072 is 27040131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127173 + ... + 127275.

It is an arithmetic number, because the mean of its divisors is an integer number (312000).

Almost surely, 213104072 is an apocalyptic number.

13104072 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 13104072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968000).

13104072 is an abundant number, since it is smaller than the sum of its proper divisors (26831928).

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

13104072 is a wasteful number, since it uses less digits than its factorization.

13104072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13104072 is about 3619.9546958491. The cubic root of 13104072 is about 235.7592584792.

The spelling of 13104072 in words is "thirteen million, one hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 103 108 114 124 152 171 186 206 216 228 248 279 309 342 372 412 456 513 558 589 618 684 744 824 837 927 1026 1116 1178 1236 1368 1674 1767 1854 1957 2052 2232 2356 2472 2781 3193 3348 3534 3708 3914 4104 4712 5301 5562 5871 6386 6696 7068 7416 7828 9579 10602 11124 11742 12772 14136 15656 15903 17613 19158 21204 22248 23484 25544 28737 31806 35226 38316 42408 46968 52839 57474 60667 63612 70452 76632 86211 105678 114948 121334 127224 140904 172422 182001 211356 229896 242668 344844 364002 422712 485336 546003 689688 728004 1092006 1456008 1638009 2184012 3276018 4368024 6552036 13104072