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12960752 = 247971193
BaseRepresentation
bin110001011100…
…001111110000
3220101110210212
4301130033300
511304221002
61141443252
7215110310
oct61341760
926343725
1012960752
117352672
124410528
1328ba3ac
141a15440
151210352
hexc5c3f0

12960752 has 40 divisors (see below), whose sum is σ = 29018976. Its totient is φ = 5492736.

The previous prime is 12960751. The next prime is 12960757. The reversal of 12960752 is 25706921.

12960752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10268 + ... + 11460.

Almost surely, 212960752 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 12960752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509488).

12960752 is an abundant number, since it is smaller than the sum of its proper divisors (16058224).

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

12960752 is a wasteful number, since it uses less digits than its factorization.

12960752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 12960752 is about 3600.1044429294. The cubic root of 12960752 is about 234.8966015620.

The spelling of 12960752 in words is "twelve million, nine hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1193 1358 1552 2386 2716 4772 5432 8351 9544 10864 16702 19088 33404 66808 115721 133616 231442 462884 810047 925768 1620094 1851536 3240188 6480376 12960752