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930130992 = 24337307583
BaseRepresentation
bin110111011100001…
…010110000110000
32101211012112212000
4313130022300300
53401103142432
6232143534000
732022661110
oct6734126060
92354175760
10930130992
114380421aa
1221b5ba300
1311a91618b
148b761040
15569ce57c
hex3770ac30

930130992 has 80 divisors (see below), whose sum is σ = 3051233280. Its totient is φ = 265750848.

The previous prime is 930130967. The next prime is 930131009. The reversal of 930130992 is 299031039.

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 15 ways as a sum of consecutive naturals, for example, 150768 + ... + 156815.

It is an arithmetic number, because the mean of its divisors is an integer number (38140416).

Almost surely, 2930130992 is an apocalyptic number.

It is an amenable number.

930130992 is an abundant number, since it is smaller than the sum of its proper divisors (2121102288).

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

930130992 is a wasteful number, since it uses less digits than its factorization.

930130992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307607 (or 307595 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 930130992 is about 30498.0489867795. The cubic root of 930130992 is about 976.1458339372.

The spelling of 930130992 in words is "nine hundred thirty million, one hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 307583 615166 922749 1230332 1845498 2153081 2460664 2768247 3690996 4306162 4921328 5536494 6459243 7381992 8304741 8612324 11072988 12918486 14763984 16609482 17224648 19377729 22145976 25836972 33218964 34449296 38755458 44291952 51673944 58133187 66437928 77510916 103347888 116266374 132875856 155021832 232532748 310043664 465065496 930130992