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13017996 = 223559227
BaseRepresentation
bin110001101010…
…001110001100
3220111101100000
4301222032030
511313033441
61143004300
7215436225
oct61521614
926441300
1013017996
117391682
124439690
13290a474
141a2c24c
1512222b6
hexc6a38c

13017996 has 72 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4246992.

The previous prime is 13017967. The next prime is 13018001. The reversal of 13017996 is 69971031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13017996.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57235 + ... + 57461.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 213017996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13017996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

13017996 is an abundant number, since it is smaller than the sum of its proper divisors (21838644).

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

13017996 is a wasteful number, since it uses less digits than its factorization.

13017996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13017996 is about 3608.0460085758. The cubic root of 13017996 is about 235.2419177684.

The spelling of 13017996 in words is "thirteen million, seventeen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 227 236 243 324 354 454 486 531 681 708 908 972 1062 1362 1593 2043 2124 2724 3186 4086 4779 6129 6372 8172 9558 12258 13393 14337 18387 19116 24516 26786 28674 36774 40179 53572 55161 57348 73548 80358 110322 120537 160716 220644 241074 361611 482148 723222 1084833 1446444 2169666 3254499 4339332 6508998 13017996