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380132064 = 253213101531
BaseRepresentation
bin10110101010000…
…101101011100000
3222111021201011100
4112222011223200
51234303211224
6101415314400
712264032514
oct2652055340
9874251140
10380132064
11185635934
12a737ba00
13609a6320
14386b2144
152358bac9
hex16a85ae0

380132064 has 72 divisors (see below), whose sum is σ = 1164165912. Its totient is φ = 116962560.

The previous prime is 380132009. The next prime is 380132089. The reversal of 380132064 is 460231083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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, 47022 + ... + 54509.

It is an arithmetic number, because the mean of its divisors is an integer number (16168971).

Almost surely, 2380132064 is an apocalyptic number.

It is an amenable number.

380132064 is an abundant number, since it is smaller than the sum of its proper divisors (784033848).

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

380132064 is a wasteful number, since it uses less digits than its factorization.

380132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101560 (or 101549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380132064 is about 19496.9757654873. The cubic root of 380132064 is about 724.3995434162.

The spelling of 380132064 in words is "three hundred eighty million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 101531 203062 304593 406124 609186 812248 913779 1218372 1319903 1624496 1827558 2436744 2639806 3248992 3655116 3959709 4873488 5279612 7310232 7919418 9746976 10559224 11879127 14620464 15838836 21118448 23758254 29240928 31677672 42236896 47516508 63355344 95033016 126710688 190066032 380132064