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116838912 = 293294361
BaseRepresentation
bin1101111011011…
…01001000000000
322010212000212010
412331231020000
5214402321122
615332132520
72616054141
oct675551000
9263760763
10116838912
115aa52893
1233167140
131b28b168
1411735ac8
15a3cde0c
hex6f6d200

116838912 has 160 divisors (see below), whose sum is σ = 334889280. Its totient is φ = 36126720.

The previous prime is 116838901. The next prime is 116838937. The reversal of 116838912 is 219838611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915362 + ... + 1915422.

It is an arithmetic number, because the mean of its divisors is an integer number (2093058).

Almost surely, 2116838912 is an apocalyptic number.

116838912 is a gapful number since it is divisible by the number (12) 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 116838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

116838912 is an abundant number, since it is smaller than the sum of its proper divisors (218050368).

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

116838912 is an equidigital number, since it uses as much as digits as its factorization.

116838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 116838912 is about 10809.2049661388. The cubic root of 116838912 is about 488.8727551456.

The spelling of 116838912 in words is "one hundred sixteen million, eight hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 61 64 86 87 96 116 122 128 129 172 174 183 192 232 244 256 258 344 348 366 384 464 488 512 516 688 696 732 768 928 976 1032 1247 1376 1392 1464 1536 1769 1856 1952 2064 2494 2623 2752 2784 2928 3538 3712 3741 3904 4128 4988 5246 5307 5504 5568 5856 7076 7424 7482 7808 7869 8256 9976 10492 10614 11008 11136 11712 14152 14848 14964 15616 15738 16512 19952 20984 21228 22016 22272 23424 28304 29928 31232 31476 33024 39904 41968 42456 44544 46848 56608 59856 62952 66048 76067 79808 83936 84912 93696 113216 119712 125904 152134 159616 167872 169824 226432 228201 239424 251808 304268 319232 335744 339648 452864 456402 478848 503616 608536 638464 671488 679296 905728 912804 957696 1007232 1217072 1342976 1358592 1825608 1915392 2014464 2434144 2717184 3651216 4028928 4868288 7302432 9736576 14604864 19473152 29209728 38946304 58419456 116838912