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12958520 = 2351312473
BaseRepresentation
bin110001011011…
…101100111000
3220101100202012
4301123230320
511304133040
61141425052
7215100641
oct61335470
926340665
1012958520
117350a23
12440b188
1328b9383
141a146c8
15120e865
hexc5bb38

12958520 has 32 divisors (see below), whose sum is σ = 29391120. Its totient is φ = 5141760.

The previous prime is 12958507. The next prime is 12958529. The reversal of 12958520 is 2585921.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958529) 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 7 ways as a sum of consecutive naturals, for example, 4004 + ... + 6476.

Almost surely, 212958520 is an apocalyptic number.

12958520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12958520 is an abundant number, since it is smaller than the sum of its proper divisors (16432600).

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

12958520 is a wasteful number, since it uses less digits than its factorization.

12958520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 12958520 is about 3599.7944385756. The cubic root of 12958520 is about 234.8831167654.

The spelling of 12958520 in words is "twelve million, nine hundred fifty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2473 2620 4946 5240 9892 12365 19784 24730 49460 98920 323963 647926 1295852 1619815 2591704 3239630 6479260 12958520