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930104728 = 23723231397
BaseRepresentation
bin110111011100000…
…100010110011000
32101211011012211021
4313130010112120
53401101322403
6232143212224
732022521410
oct6734042630
92354135737
10930104728
114380244a3
1221b5a7074
1311a907237
148b755640
15569c68bd
hex37704598

930104728 has 48 divisors (see below), whose sum is σ = 2083571280. Its totient is φ = 381273024.

The previous prime is 930104719. The next prime is 930104743. The reversal of 930104728 is 827401039.

It is a junction number, because it is equal to n+sod(n) for n = 930104693 and 930104702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13926 + ... + 45322.

It is an arithmetic number, because the mean of its divisors is an integer number (43407735).

Almost surely, 2930104728 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 930104728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041785640).

930104728 is an abundant number, since it is smaller than the sum of its proper divisors (1153466552).

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

930104728 is a wasteful number, since it uses less digits than its factorization.

930104728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31456 (or 31429 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 930104728 is about 30497.6183988193. The cubic root of 930104728 is about 976.1366460788.

The spelling of 930104728 in words is "nine hundred thirty million, one hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 2116 3703 4232 7406 14812 29624 31397 62794 125588 219779 251176 439558 722131 879116 1444262 1758232 2888524 5054917 5777048 10109834 16609013 20219668 33218026 40439336 66436052 116263091 132872104 232526182 465052364 930104728