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930102912 = 2735171759
BaseRepresentation
bin110111011100000…
…011111010000000
32101211011010100000
4313130003322000
53401101243122
6232143200000
732022513204
oct6734037200
92354133300
10930102912
114380230a2
1221b5a6000
1311a90646b
148b754b04
15569c60ac
hex37703e80

930102912 has 192 divisors, whose sum is σ = 2940537600. Its totient is φ = 291631104.

The previous prime is 930102907. The next prime is 930102913. The reversal of 930102912 is 219201039.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (930102913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527889 + ... + 529647.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2930102912 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 930102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

930102912 is an abundant number, since it is smaller than the sum of its proper divisors (2010434688).

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

930102912 is a wasteful number, since it uses less digits than its factorization.

930102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 930102912 is about 30497.5886259881. The cubic root of 930102912 is about 976.1360107864.

The spelling of 930102912 in words is "nine hundred thirty million, one hundred two thousand, nine hundred twelve".