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660092928 = 2113119767
BaseRepresentation
bin100111010110000…
…011100000000000
31201000002012021020
4213112003200000
52322440433203
6145300025440
722233461115
oct4726034000
91630065236
10660092928
11309672650
12165092280
13a69a8c41
146394a90c
153ce3d153
hex27583800

660092928 has 96 divisors (see below), whose sum is σ = 1919998080. Its totient is φ = 200007680.

The previous prime is 660092921. The next prime is 660092929. The reversal of 660092928 is 829290066.

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

It is a super-2 number, since 2×6600929282 = 871445347191226368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 660092928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660092921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62701 + ... + 72467.

It is an arithmetic number, because the mean of its divisors is an integer number (19999980).

Almost surely, 2660092928 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 660092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959999040).

660092928 is an abundant number, since it is smaller than the sum of its proper divisors (1259905152).

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

660092928 is a wasteful number, since it uses less digits than its factorization.

660092928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 660092928 is about 25692.2737024188. The cubic root of 660092928 is about 870.6996301179.

The spelling of 660092928 in words is "six hundred sixty million, ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 9767 11264 16896 19534 22528 29301 33792 39068 58602 67584 78136 107437 117204 156272 214874 234408 312544 322311 429748 468816 625088 644622 859496 937632 1250176 1289244 1718992 1875264 2500352 2578488 3437984 3750528 5000704 5156976 6875968 7501056 10001408 10313952 13751936 15002112 20002816 20627904 27503872 30004224 41255808 55007744 60008448 82511616 110015488 165023232 220030976 330046464 660092928