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320715132 = 2231712712379
BaseRepresentation
bin10011000111011…
…011100101111100
3211100111000110020
4103013123211330
51124100341012
651454012140
710643014353
oct2307334574
9740430406
10320715132
11155043031
128b4a7050
13515a188a
143084699a
151d251a8c
hex131db97c

320715132 has 48 divisors (see below), whose sum is σ = 798658560. Its totient is φ = 99816192.

The previous prime is 320715121. The next prime is 320715139. The reversal of 320715132 is 231517023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320715139) 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, 19719 + ... + 32097.

It is an arithmetic number, because the mean of its divisors is an integer number (16638720).

Almost surely, 2320715132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320715132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399329280).

320715132 is an abundant number, since it is smaller than the sum of its proper divisors (477943428).

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

320715132 is a wasteful number, since it uses less digits than its factorization.

320715132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 320715132 is about 17908.5212119817. The cubic root of 320715132 is about 684.4995239644.

The spelling of 320715132 in words is "three hundred twenty million, seven hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 381 508 762 1524 2159 4318 6477 8636 12379 12954 24758 25908 37137 49516 74274 148548 210443 420886 631329 841772 1262658 1572133 2525316 3144266 4716399 6288532 9432798 18865596 26726261 53452522 80178783 106905044 160357566 320715132