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660422016 = 27323118493
BaseRepresentation
bin100111010111010…
…011110110000000
31201000200220200200
4213113103312000
52323032001031
6145311045200
722236331422
oct4727236600
91630626620
10660422016
11309877921
12165210800
13a6a92977
14639d4812
153cea58e6
hex275d3d80

660422016 has 96 divisors (see below), whose sum is σ = 1961843520. Its totient is φ = 213027840.

The previous prime is 660422011. The next prime is 660422039. The reversal of 660422016 is 610224066.

It is a happy number.

660422016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660422011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26466 + ... + 44958.

It is an arithmetic number, because the mean of its divisors is an integer number (20435870).

Almost surely, 2660422016 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 660422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980921760).

660422016 is an abundant number, since it is smaller than the sum of its proper divisors (1301421504).

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

660422016 is a wasteful number, since it uses less digits than its factorization.

660422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18544 (or 18529 counting only the distinct ones).

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

The square root of 660422016 is about 25698.6773200490. The cubic root of 660422016 is about 870.8443012611.

The spelling of 660422016 in words is "six hundred sixty million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 18493 35712 36986 55479 73972 110958 147944 166437 221916 295888 332874 443832 573283 591776 665748 887664 1146566 1183552 1331496 1719849 1775328 2293132 2367104 2662992 3439698 3550656 4586264 5159547 5325984 6879396 7101312 9172528 10319094 10651968 13758792 18345056 20638188 21303936 27517584 36690112 41276376 55035168 73380224 82552752 110070336 165105504 220140672 330211008 660422016