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664807920 = 24357395719
BaseRepresentation
bin100111101000000…
…010100111110000
31201022221202000120
4213220002213300
52330142323140
6145545050240
722321526340
oct4750024760
91638852016
10664807920
113112a3037
12166786980
13a796a08a
1464416d20
153d5701d0
hex27a029f0

664807920 has 80 divisors (see below), whose sum is σ = 2355325440. Its totient is φ = 151955712.

The previous prime is 664807909. The next prime is 664807921. The reversal of 664807920 is 29708466.

It is a tau number, because it is divible by the number of its divisors (80).

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 (664807921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196180 + ... + 199539.

It is an arithmetic number, because the mean of its divisors is an integer number (29441568).

Almost surely, 2664807920 is an apocalyptic number.

664807920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664807920 is an abundant number, since it is smaller than the sum of its proper divisors (1690517520).

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

664807920 is a wasteful number, since it uses less digits than its factorization.

664807920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395742 (or 395736 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 664807920 is about 25783.8693760266. The cubic root of 664807920 is about 872.7678266351.

The spelling of 664807920 in words is "six hundred sixty-four million, eight hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 395719 791438 1187157 1582876 1978595 2374314 2770033 3165752 3957190 4748628 5540066 5935785 6331504 7914380 8310099 9497256 11080132 11871570 13850165 15828760 16620198 18994512 22160264 23743140 27700330 31657520 33240396 41550495 44320528 47486280 55400660 66480792 83100990 94972560 110801320 132961584 166201980 221602640 332403960 664807920