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13107978 = 23213231139
BaseRepresentation
bin110010000000…
…001100001010
3220122221202200
4302000030022
511323423403
61144541030
7216262452
oct62001412
926587680
1013107978
117443244
124481776
13293c400
141a52d62
15123dca3
hexc8030a

13107978 has 72 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3875040.

The previous prime is 13107959. The next prime is 13108001. The reversal of 13107978 is 87970131.

It is a Curzon 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 35 ways as a sum of consecutive naturals, for example, 94233 + ... + 94371.

It is an arithmetic number, because the mean of its divisors is an integer number (444080).

Almost surely, 213107978 is an apocalyptic number.

13107978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

13107978 is an abundant number, since it is smaller than the sum of its proper divisors (18865782).

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

13107978 is a wasteful number, since it uses less digits than its factorization.

13107978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 13107978 is about 3620.4941651659. The cubic root of 13107978 is about 235.7826808215.

The spelling of 13107978 in words is "thirteen million, one hundred seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 139 169 186 234 278 279 338 403 417 507 558 806 834 1014 1209 1251 1521 1807 2418 2502 3042 3614 3627 4309 5239 5421 7254 8618 10478 10842 12927 15717 16263 23491 25854 31434 32526 38781 46982 47151 56017 70473 77562 94302 112034 140946 168051 211419 336102 422838 504153 728221 1008306 1456442 2184663 4369326 6553989 13107978