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1056164364 = 2232161918121
BaseRepresentation
bin111110111100111…
…100101000001100
32201121100201010200
4332330330220030
54130334224424
6252445133500
735113151253
oct7674745014
92647321120
101056164364
114a21a4a12
1225585a290
1313aa73338
14a03ab79a
1562ac78c9
hex3ef3ca0c

1056164364 has 36 divisors (see below), whose sum is σ = 2671545240. Its totient is φ = 351817920.

The previous prime is 1056164363. The next prime is 1056164377. The reversal of 1056164364 is 4634616501.

It is a happy number.

1056164364 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 643 + 6 + 4 = 666.

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

It is a super-2 number, since 2×10561643642 = 2230966327567048992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056164363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49224 + ... + 67344.

It is an arithmetic number, because the mean of its divisors is an integer number (74209590).

Almost surely, 21056164364 is an apocalyptic number.

It is an amenable number.

1056164364 is an abundant number, since it is smaller than the sum of its proper divisors (1615380876).

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

1056164364 is a wasteful number, since it uses less digits than its factorization.

1056164364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750 (or 19745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1056164364 is about 32498.6824963721. The cubic root of 1056164364 is about 1018.3815047056.

The spelling of 1056164364 in words is "one billion, fifty-six million, one hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1619 3238 4857 6476 9714 14571 18121 19428 29142 36242 54363 58284 72484 108726 163089 217452 326178 652356 29337899 58675798 88013697 117351596 176027394 264041091 352054788 528082182 1056164364