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116365860 = 22325132232
BaseRepresentation
bin1101110111110…
…01101000100100
322002221222221200
412323321220210
5214242201420
615314042500
72612044032
oct673715044
9262858850
10116365860
115a75a436
1232b79430
131b153a50
1411651552
15a338b90
hex6ef9a24

116365860 has 108 divisors (see below), whose sum is σ = 381840732. Its totient is φ = 28515456.

The previous prime is 116365841. The next prime is 116365883. The reversal of 116365860 is 68563611.

It is a happy number.

116365860 is a `hidden beast` number, since 11 + 63 + 6 + 586 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 87721956 = 5352^2 + 9366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521709 + ... + 521931.

Almost surely, 2116365860 is an apocalyptic number.

116365860 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 116365860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190920366).

116365860 is an abundant number, since it is smaller than the sum of its proper divisors (265474872).

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

116365860 is a wasteful number, since it uses less digits than its factorization.

116365860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 116365860 is about 10787.3008672235. The cubic root of 116365860 is about 488.2120875578.

The spelling of 116365860 in words is "one hundred sixteen million, three hundred sixty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 223 234 260 390 446 468 585 669 780 892 1115 1170 1338 2007 2230 2340 2676 2899 3345 4014 4460 5798 6690 8028 8697 10035 11596 13380 14495 17394 20070 26091 28990 34788 40140 43485 49729 52182 57980 86970 99458 104364 130455 149187 173940 198916 248645 260910 298374 447561 497290 521820 596748 646477 745935 895122 994580 1292954 1491870 1790244 1939431 2237805 2585908 2983740 3232385 3878862 4475610 5818293 6464770 7757724 8951220 9697155 11636586 12929540 19394310 23273172 29091465 38788620 58182930 116365860