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12670968 = 2334179163
BaseRepresentation
bin110000010101…
…011111111000
3212211202022010
4300111133320
511220432333
61131325520
7212462412
oct60253770
925752263
1012670968
117174982
1242b08a0
13281851b
14197b9b2
1511a4563
hexc157f8

12670968 has 64 divisors (see below), whose sum is σ = 33062400. Its totient is φ = 4043520.

The previous prime is 12670963. The next prime is 12670997. The reversal of 12670968 is 86907621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12670961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77655 + ... + 77817.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 212670968 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 12670968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531200).

12670968 is an abundant number, since it is smaller than the sum of its proper divisors (20391432).

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

12670968 is a wasteful number, since it uses less digits than its factorization.

12670968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 12670968 is about 3559.6303178841. The cubic root of 12670968 is about 233.1327382568.

The spelling of 12670968 in words is "twelve million, six hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 79 82 123 158 163 164 237 246 316 326 328 474 489 492 632 652 948 978 984 1304 1896 1956 3239 3912 6478 6683 9717 12877 12956 13366 19434 20049 25754 25912 26732 38631 38868 40098 51508 53464 77262 77736 80196 103016 154524 160392 309048 527957 1055914 1583871 2111828 3167742 4223656 6335484 12670968