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1364056764 = 223721176961
BaseRepresentation
bin101000101001101…
…1101101010111100
310112001201021002220
41101103131222330
510243144304024
6343204245340
745542201610
oct12123355274
93461637086
101364056764
1163aa7a044
123209a0850
131897a55a5
14cd237340
157eb44e79
hex514ddabc

1364056764 has 48 divisors (see below), whose sum is σ = 3654771456. Its totient is φ = 387878400.

The previous prime is 1364056753. The next prime is 1364056769. The reversal of 1364056764 is 4676504631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364056769) 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 15 ways as a sum of consecutive naturals, for example, 20757 + ... + 56204.

It is an arithmetic number, because the mean of its divisors is an integer number (76141072).

Almost surely, 21364056764 is an apocalyptic number.

1364056764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1364056764 is an abundant number, since it is smaller than the sum of its proper divisors (2290714692).

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

1364056764 is a wasteful number, since it uses less digits than its factorization.

1364056764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77186 (or 77184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1364056764 is about 36933.1391029790. The cubic root of 1364056764 is about 1109.0321796864.

The spelling of 1364056764 in words is "one billion, three hundred sixty-four million, fifty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2954 4431 5908 8862 17724 76961 153922 230883 307844 461766 538727 923532 1077454 1616181 2154908 3232362 6464724 16238771 32477542 48716313 64955084 97432626 113671397 194865252 227342794 341014191 454685588 682028382 1364056764