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660332064 = 25378311839
BaseRepresentation
bin100111010110111…
…101111000100000
31201000112100022010
4213112331320200
52323021111224
6145305112520
722235505240
oct4726757040
91630470263
10660332064
11309816287
12165188740
13a6a60a42
14639adb20
153ce88e29
hex275bde20

660332064 has 96 divisors (see below), whose sum is σ = 2005032960. Its totient is φ = 186377472.

The previous prime is 660332053. The next prime is 660332069. The reversal of 660332064 is 460233066.

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

It is not an unprimeable number, because it can be changed into a prime (660332069) 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, 49857 + ... + 61695.

It is an arithmetic number, because the mean of its divisors is an integer number (20885760).

Almost surely, 2660332064 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 660332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002516480).

660332064 is an abundant number, since it is smaller than the sum of its proper divisors (1344700896).

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

660332064 is a wasteful number, since it uses less digits than its factorization.

660332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 660332064 is about 25696.9271314685. The cubic root of 660332064 is about 870.8047620264.

The spelling of 660332064 in words is "six hundred sixty million, three hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 11839 13944 18592 23678 27888 35517 47356 55776 71034 82873 94712 142068 165746 189424 248619 284136 331492 378848 497238 568272 662984 982637 994476 1136544 1325968 1965274 1988952 2651936 2947911 3930548 3977904 5895822 6878459 7861096 7955808 11791644 13756918 15722192 20635377 23583288 27513836 31444384 41270754 47166576 55027672 82541508 94333152 110055344 165083016 220110688 330166032 660332064