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102914328 = 233111723997
BaseRepresentation
bin1100010001001…
…01100100011000
321011122120220210
412020211210120
5202321224303
614113451120
72356520526
oct610454430
9234576823
10102914328
1153102070
122a570aa0
131842416a
14d94d316
15907d203
hex6225918

102914328 has 128 divisors (see below), whose sum is σ = 310417920. Its totient is φ = 28047360.

The previous prime is 102914293. The next prime is 102914341. The reversal of 102914328 is 823419201.

It is a junction number, because it is equal to n+sod(n) for n = 102914295 and 102914304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102726 + ... + 103722.

It is an arithmetic number, because the mean of its divisors is an integer number (2425140).

Almost surely, 2102914328 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 102914328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155208960).

102914328 is an abundant number, since it is smaller than the sum of its proper divisors (207503592).

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

102914328 is a wasteful number, since it uses less digits than its factorization.

102914328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102914328 is about 10144.6699305596. The cubic root of 102914328 is about 468.6248137880.

The spelling of 102914328 in words is "one hundred two million, nine hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 997 1012 1122 1173 1496 1518 1564 1994 2024 2244 2346 2991 3036 3128 3988 4301 4488 4692 5982 6072 7976 8602 9384 10967 11964 12903 16949 17204 21934 22931 23928 25806 32901 33898 34408 43868 45862 50847 51612 65802 67796 68793 87736 91724 101694 103224 131604 135592 137586 183448 186439 203388 252241 263208 275172 372878 389827 406776 504482 550344 559317 745756 756723 779654 1008964 1118634 1169481 1491512 1513446 1559308 2017928 2237268 2338962 3026892 3118616 4288097 4474536 4677924 6053784 8576194 9355848 12864291 17152388 25728582 34304776 51457164 102914328