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930102272 = 21011711163
BaseRepresentation
bin110111011100000…
…011110000000000
32101211011002110022
4313130003300000
53401101233042
6232143153012
732022511301
oct6734036000
92354132408
10930102272
11438022670
1221b5a5768
1311a906098
148b7547a8
15569c5cd2
hex37703c00

930102272 has 88 divisors (see below), whose sum is σ = 2058659712. Its totient is φ = 416460800.

The previous prime is 930102157. The next prime is 930102281. The reversal of 930102272 is 272201039.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799163 + ... + 800325.

Almost surely, 2930102272 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 930102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029329856).

930102272 is an abundant number, since it is smaller than the sum of its proper divisors (1128557440).

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

930102272 is a wasteful number, since it uses less digits than its factorization.

930102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 930102272 is about 30497.5781333535. The cubic root of 930102272 is about 976.1357868946.

The spelling of 930102272 in words is "nine hundred thirty million, one hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 512 568 704 781 1024 1136 1163 1408 1562 2272 2326 2816 3124 4544 4652 5632 6248 9088 9304 11264 12496 12793 18176 18608 24992 25586 36352 37216 49984 51172 72704 74432 82573 99968 102344 148864 165146 199936 204688 297728 330292 399872 409376 595456 660584 799744 818752 908303 1190912 1321168 1637504 1816606 2642336 3275008 3633212 5284672 6550016 7266424 10569344 13100032 14532848 21138688 29065696 42277376 58131392 84554752 116262784 232525568 465051136 930102272