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930080840 = 235133748341
BaseRepresentation
bin110111011011111…
…110100001001000
32101211010000001112
4313123332201020
53401100041330
6232142505452
732022361643
oct6733764110
92354100045
10930080840
11438008557
1221b595288
1311a8c93c0
148b74aa5a
15569be795
hex376fe848

930080840 has 64 divisors (see below), whose sum is σ = 2314614960. Its totient is φ = 334126080.

The previous prime is 930080839. The next prime is 930080903. The reversal of 930080840 is 48080039.

It can be written as a sum of positive squares in 8 ways, for example, as 596434084 + 333646756 = 24422^2 + 18266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 930080797 and 930080806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4931 + ... + 43410.

Almost surely, 2930080840 is an apocalyptic number.

It is an amenable number.

930080840 is an abundant number, since it is smaller than the sum of its proper divisors (1384534120).

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

930080840 is a wasteful number, since it uses less digits than its factorization.

930080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48402 (or 48398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 930080840 is about 30497.2267591662. The cubic root of 930080840 is about 976.1282892593.

The spelling of 930080840 in words is "nine hundred thirty million, eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 48341 96682 193364 241705 386728 483410 628433 966820 1256866 1788617 1933640 2513732 3142165 3577234 5027464 6284330 7154468 8943085 12568660 14308936 17886170 23252021 25137320 35772340 46504042 71544680 93008084 116260105 186016168 232520210 465040420 930080840