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930128004 = 2232132172232
BaseRepresentation
bin110111011100001…
…010000010000100
32101211012101202100
4313130022002010
53401103044004
6232143512100
732022646311
oct6734120204
92354171670
10930128004
1143803aa33
1221b5b8630
1311a914a00
148b75dd08
15569cd739
hex3770a084

930128004 has 243 divisors, whose sum is σ = 2827196463. Its totient is φ = 257647104.

The previous prime is 930127997. The next prime is 930128029. The reversal of 930128004 is 400821039.

The square root of 930128004 is 30498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 921729600 = 2898^2 + 30360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40440337 + ... + 40440359.

Almost surely, 2930128004 is an apocalyptic number.

930128004 is the 30498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930128004

930128004 is an abundant number, since it is smaller than the sum of its proper divisors (1897068459).

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

930128004 is a wasteful number, since it uses less digits than its factorization.

930128004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 930128004 is about 976.1447886626.

The spelling of 930128004 in words is "nine hundred thirty million, one hundred twenty-eight thousand, four".