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664160504 = 23731912739
BaseRepresentation
bin100111100101100…
…100100011111000
31201021201211221012
4213211210203320
52330011114004
6145523133052
722313162000
oct4745444370
91637654835
10664160504
113109a0687
12166514188
13a77a14a7
14642c9000
153d49346e
hex279648f8

664160504 has 64 divisors (see below), whose sum is σ = 1528800000. Its totient is φ = 269637984.

The previous prime is 664160477. The next prime is 664160509. The reversal of 664160504 is 405061466.

664160504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6641605042 = 882218350147068032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664160509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45767 + ... + 58505.

It is an arithmetic number, because the mean of its divisors is an integer number (23887500).

Almost surely, 2664160504 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 664160504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764400000).

664160504 is an abundant number, since it is smaller than the sum of its proper divisors (864639496).

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

664160504 is a wasteful number, since it uses less digits than its factorization.

664160504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 664160504 is about 25771.3116468681. The cubic root of 664160504 is about 872.4844227836.

The spelling of 664160504 in words is "six hundred sixty-four million, one hundred sixty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2744 3724 6517 7448 12739 13034 25478 26068 50956 52136 89173 101912 178346 242041 356692 484082 624211 713384 968164 1248422 1694287 1936328 2496844 3388574 4369477 4993688 6777148 8738954 11860009 13554296 17477908 23720018 34955816 47440036 83020063 94880072 166040126 332080252 664160504