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660599968 = 2572601701
BaseRepresentation
bin100111010111111…
…111010010100000
31201001000221210111
4213113333102200
52323103144333
6145314541104
722241002300
oct4727772240
91631027714
10660599968
11309989596
12165297794
13a6b25972
1463a3d600
153cedd4cd
hex275ff4a0

660599968 has 72 divisors (see below), whose sum is σ = 1517570964. Its totient is φ = 282240000.

The previous prime is 660599939. The next prime is 660600011. The reversal of 660599968 is 869995066.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 565107984 + 95491984 = 23772^2 + 9772^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942018 + ... + 942718.

Almost surely, 2660599968 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 660599968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758785482).

660599968 is an abundant number, since it is smaller than the sum of its proper divisors (856970996).

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

660599968 is a wasteful number, since it uses less digits than its factorization.

660599968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 58.

The square root of 660599968 is about 25702.1393662084. The cubic root of 660599968 is about 870.9225111353.

The spelling of 660599968 in words is "six hundred sixty million, five hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 601 701 784 1202 1402 1568 2404 2804 4207 4808 4907 5608 8414 9616 9814 11216 16828 19232 19628 22432 29449 33656 34349 39256 58898 67312 68698 78512 117796 134624 137396 157024 235592 274792 421301 471184 549584 842602 942368 1099168 1685204 2949107 3370408 5898214 6740816 11796428 13481632 20643749 23592856 41287498 47185712 82574996 94371424 165149992 330299984 660599968