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12971984 = 241971601
BaseRepresentation
bin110001011110…
…111111010000
3220102001012212
4301132333100
511310100414
61142011252
7215155124
oct61367720
926361185
1012971984
117360053
124416b28
1328c253c
141a19584
15121383e
hexc5efd0

12971984 has 40 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 6048000.

The previous prime is 12971971. The next prime is 12971993. The reversal of 12971984 is 48917921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21284 + ... + 21884.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 212971984 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 12971984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436640).

12971984 is an abundant number, since it is smaller than the sum of its proper divisors (13901296).

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

12971984 is a wasteful number, since it uses less digits than its factorization.

12971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its digits is 36288, while the sum is 41.

The square root of 12971984 is about 3601.6640598479. The cubic root of 12971984 is about 234.9644370509.

The spelling of 12971984 in words is "twelve million, nine hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 601 1136 1202 1349 2404 2698 4808 5396 9616 10792 11419 21584 22838 42671 45676 85342 91352 170684 182704 341368 682736 810749 1621498 3242996 6485992 12971984