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116515360 = 25513231139
BaseRepresentation
bin1101111000111…
…10001000100000
322010020121000201
412330132020200
5214311442420
615321154544
72613235633
oct674361040
9263217021
10116515360
115a851795
123302ba54
131b1a6b00
141168dc1a
15a36810a
hex6f1e220

116515360 has 144 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 41333760.

The previous prime is 116515291. The next prime is 116515363. The reversal of 116515360 is 63515611.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (116515363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838171 + ... + 838309.

It is an arithmetic number, because the mean of its divisors is an integer number (2152080).

Almost surely, 2116515360 is an apocalyptic number.

116515360 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 116515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

116515360 is an abundant number, since it is smaller than the sum of its proper divisors (193384160).

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

116515360 is a wasteful number, since it uses less digits than its factorization.

116515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 116515360 is about 10794.2280872696. The cubic root of 116515360 is about 488.4210734597.

The spelling of 116515360 in words is "one hundred sixteen million, five hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 139 155 160 169 208 248 260 278 310 338 403 416 496 520 556 620 676 695 806 845 992 1040 1112 1240 1352 1390 1612 1690 1807 2015 2080 2224 2480 2704 2780 3224 3380 3614 4030 4309 4448 4960 5239 5408 5560 6448 6760 7228 8060 8618 9035 10478 11120 12896 13520 14456 16120 17236 18070 20956 21545 22240 23491 26195 27040 28912 32240 34472 36140 41912 43090 46982 52390 56017 57824 64480 68944 72280 83824 86180 93964 104780 112034 117455 137888 144560 167648 172360 187928 209560 224068 234910 280085 289120 344720 375856 419120 448136 469820 560170 689440 728221 751712 838240 896272 939640 1120340 1456442 1792544 1879280 2240680 2912884 3641105 3758560 4481360 5825768 7282210 8962720 11651536 14564420 23303072 29128840 58257680 116515360