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930196512 = 25327461407
BaseRepresentation
bin110111011100011…
…010110000100000
32101211022212201200
4313130122300200
53401112242022
6232145201200
732023353120
oct6734326040
92354285650
10930196512
11438087453
1221b630200
1311a939c4b
148b77ac80
15569e3bac
hex3771ac20

930196512 has 72 divisors (see below), whose sum is σ = 3023145216. Its totient is φ = 265769856.

The previous prime is 930196493. The next prime is 930196523. The reversal of 930196512 is 215691039.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9301965122 = 1730531101873932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228688 + ... + 232719.

It is an arithmetic number, because the mean of its divisors is an integer number (41988128).

Almost surely, 2930196512 is an apocalyptic number.

It is an amenable number.

930196512 is an abundant number, since it is smaller than the sum of its proper divisors (2092948704).

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

930196512 is a wasteful number, since it uses less digits than its factorization.

930196512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461430 (or 461419 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 930196512 is about 30499.1231349362. The cubic root of 930196512 is about 976.1687538534.

The spelling of 930196512 in words is "nine hundred thirty million, one hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 461407 922814 1384221 1845628 2768442 3229849 3691256 4152663 5536884 6459698 7382512 8305326 9689547 11073768 12919396 14765024 16610652 19379094 22147536 25838792 29068641 33221304 38758188 44295072 51677584 58137282 66442608 77516376 103355168 116274564 132885216 155032752 232549128 310065504 465098256 930196512