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30964992 = 283231753
BaseRepresentation
bin111011000011…
…1110100000000
32011021011222120
41312013310000
530411334432
63023404240
7524124642
oct166076400
964234876
1030964992
111652a503
12a453680
1365522a6
144180892
152ab9c2c
hex1d87d00

30964992 has 72 divisors (see below), whose sum is σ = 86044224. Its totient is φ = 9867264.

The previous prime is 30964991. The next prime is 30965009. The reversal of 30964992 is 29946903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30964991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16788 + ... + 18540.

Almost surely, 230964992 is an apocalyptic number.

30964992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43022112).

30964992 is an abundant number, since it is smaller than the sum of its proper divisors (55079232).

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

30964992 is a wasteful number, since it uses less digits than its factorization.

30964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 30964992 is about 5564.6196635529. The cubic root of 30964992 is about 314.0197696723.

The spelling of 30964992 in words is "thirty million, nine hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 1753 2208 2944 3506 4416 5259 5888 7012 8832 10518 14024 17664 21036 28048 40319 42072 56096 80638 84144 112192 120957 161276 168288 224384 241914 322552 336576 448768 483828 645104 673152 967656 1290208 1346304 1935312 2580416 3870624 5160832 7741248 10321664 15482496 30964992