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30468564 = 22327120907
BaseRepresentation
bin111010000111…
…0100111010100
32010022222000100
41310032213110
530244443224
63005014100
7516656430
oct164164724
963288010
1030468564
1116220535
12a254330
13640a349
1440919c0
152a1cac9
hex1d0e9d4

30468564 has 36 divisors (see below), whose sum is σ = 88021024. Its totient is φ = 8705232.

The previous prime is 30468541. The next prime is 30468577. The reversal of 30468564 is 46586403.

30468564 is a `hidden beast` number, since 30 + 4 + 68 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60202 + ... + 60705.

Almost surely, 230468564 is an apocalyptic number.

It is an amenable number.

30468564 is an abundant number, since it is smaller than the sum of its proper divisors (57552460).

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

30468564 is a wasteful number, since it uses less digits than its factorization.

30468564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120924 (or 120919 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 30468564 is about 5519.8336931469. The cubic root of 30468564 is about 312.3326088059.

The spelling of 30468564 in words is "thirty million, four hundred sixty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 120907 241814 362721 483628 725442 846349 1088163 1450884 1692698 2176326 2539047 3385396 4352652 5078094 7617141 10156188 15234282 30468564