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102130860 = 2235131271031
BaseRepresentation
bin1100001011001…
…10010010101100
321010011210012110
412011212102230
5202121141420
614045004020
72350045416
oct605462254
9233153173
10102130860
1152717477
122a253610
131820b680
14d7c79b6
158e75ee0
hex61664ac

102130860 has 96 divisors (see below), whose sum is σ = 310689792. Its totient is φ = 24917760.

The previous prime is 102130843. The next prime is 102130867. The reversal of 102130860 is 68031201.

It is not an unprimeable number, because it can be changed into a prime (102130867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98545 + ... + 99575.

It is an arithmetic number, because the mean of its divisors is an integer number (3236352).

Almost surely, 2102130860 is an apocalyptic number.

102130860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344896).

102130860 is an abundant number, since it is smaller than the sum of its proper divisors (208558932).

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

102130860 is a wasteful number, since it uses less digits than its factorization.

102130860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 102130860 is about 10105.9813971727. The cubic root of 102130860 is about 467.4325982117.

The spelling of 102130860 in words is "one hundred two million, one hundred thirty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1031 1270 1524 1651 1905 2062 2540 3093 3302 3810 4124 4953 5155 6186 6604 7620 8255 9906 10310 12372 13403 15465 16510 19812 20620 24765 26806 30930 33020 40209 49530 53612 61860 67015 80418 99060 130937 134030 160836 201045 261874 268060 392811 402090 523748 654685 785622 804180 1309370 1571244 1702181 1964055 2618740 3404362 3928110 5106543 6808724 7856220 8510905 10213086 17021810 20426172 25532715 34043620 51065430 102130860