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30125964 = 22311241947
BaseRepresentation
bin111001011101…
…0111110001100
32002200120001110
41302322332030
530203012324
62553412020
7514031541
oct162727614
962616043
1030125964
11160070a0
12a10a010
13631a41b
144002bc8
1529a1329
hex1cbaf8c

30125964 has 48 divisors (see below), whose sum is σ = 77083776. Its totient is φ = 9081600.

The previous prime is 30125951. The next prime is 30125971. The reversal of 30125964 is 46952103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31339 + ... + 32285.

It is an arithmetic number, because the mean of its divisors is an integer number (1605912).

Almost surely, 230125964 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 30125964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38541888).

30125964 is an abundant number, since it is smaller than the sum of its proper divisors (46957812).

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

30125964 is a wasteful number, since it uses less digits than its factorization.

30125964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30125964 is about 5488.7124173161. The cubic root of 30125964 is about 311.1575316032.

The spelling of 30125964 in words is "thirty million, one hundred twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 947 964 1446 1894 2651 2841 2892 3788 5302 5682 7953 10417 10604 11364 15906 20834 31251 31812 41668 62502 125004 228227 456454 684681 912908 1369362 2510497 2738724 5020994 7531491 10041988 15062982 30125964