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102315928 = 231113175261
BaseRepresentation
bin1100001100100…
…11011110011000
321010112012001211
412012103132120
5202143102203
614052552504
72351446111
oct606233630
9233465054
10102315928
1152833520
122a322734
1318274990
14d835208
158eb0c6d
hex6193798

102315928 has 64 divisors (see below), whose sum is σ = 238684320. Its totient is φ = 40396800.

The previous prime is 102315907. The next prime is 102316001. The reversal of 102315928 is 829513201.

It is a self number, because there is not a number n which added to its sum of digits gives 102315928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16818 + ... + 22078.

Almost surely, 2102315928 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 102315928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342160).

102315928 is an abundant number, since it is smaller than the sum of its proper divisors (136368392).

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

102315928 is a wasteful number, since it uses less digits than its factorization.

102315928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 102315928 is about 10115.1336125629. The cubic root of 102315928 is about 467.7147676317.

The spelling of 102315928 in words is "one hundred two million, three hundred fifteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 4862 5261 9724 10522 19448 21044 42088 57871 68393 89437 115742 136786 178874 231484 273572 357748 462968 547144 715496 752323 983807 1162681 1504646 1967614 2325362 3009292 3935228 4650724 6018584 7870456 9301448 12789491 25578982 51157964 102315928