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731132064 = 253213195281
BaseRepresentation
bin101011100101000…
…011000010100000
31212221202100122100
4223211003002200
52444132211224
6200314410400
724055343235
oct5345030240
91787670570
10731132064
11345783383
12184a30a00
13b861c730
146d15d78c
15442c1ac9
hex2b9430a0

731132064 has 72 divisors (see below), whose sum is σ = 2239103412. Its totient is φ = 224962560.

The previous prime is 731132041. The next prime is 731132069. The reversal of 731132064 is 460231137.

It can be written as a sum of positive squares in 2 ways, for example, as 723179664 + 7952400 = 26892^2 + 2820^2 .

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

It is not an unprimeable number, because it can be changed into a prime (731132069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93897 + ... + 101384.

Almost surely, 2731132064 is an apocalyptic number.

It is an amenable number.

731132064 is an abundant number, since it is smaller than the sum of its proper divisors (1507971348).

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

731132064 is a wasteful number, since it uses less digits than its factorization.

731132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195310 (or 195299 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 731132064 is about 27039.4538406381. The cubic root of 731132064 is about 900.8765386266.

The spelling of 731132064 in words is "seven hundred thirty-one 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 195281 390562 585843 781124 1171686 1562248 1757529 2343372 2538653 3124496 3515058 4686744 5077306 6248992 7030116 7615959 9373488 10154612 14060232 15231918 18746976 20309224 22847877 28120464 30463836 40618448 45695754 56240928 60927672 81236896 91391508 121855344 182783016 243710688 365566032 731132064