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13012104 = 2337731061
BaseRepresentation
bin110001101000…
…110010001000
3220111002020210
4301220302020
511312341404
61142521120
7215413110
oct61506210
926432223
1013012104
117388206
1244361a0
132907891
141a2a040
151220689
hexc68c88

13012104 has 64 divisors (see below), whose sum is σ = 37722240. Its totient is φ = 3663360.

The previous prime is 13012081. The next prime is 13012117. The reversal of 13012104 is 40121031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13012104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11734 + ... + 12794.

It is an arithmetic number, because the mean of its divisors is an integer number (589410).

Almost surely, 213012104 is an apocalyptic number.

13012104 is a gapful number since it is divisible by the number (14) 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 13012104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861120).

13012104 is an abundant number, since it is smaller than the sum of its proper divisors (24710136).

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

13012104 is a wasteful number, since it uses less digits than its factorization.

13012104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13012104 is about 3607.2294077311. The cubic root of 13012104 is about 235.2064219173.

Adding to 13012104 its reverse (40121031), we get a palindrome (53133135).

The spelling of 13012104 in words is "thirteen million, twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1061 1533 1752 2044 2122 3066 3183 4088 4244 6132 6366 7427 8488 12264 12732 14854 22281 25464 29708 44562 59416 77453 89124 154906 178248 232359 309812 464718 542171 619624 929436 1084342 1626513 1858872 2168684 3253026 4337368 6506052 13012104