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116299136 = 276771191
BaseRepresentation
bin1101110111010…
…01010110000000
322002211121102102
412323221112000
5214233033021
615312405532
72611345352
oct673512600
9262747372
10116299136
115a714298
1232b468a8
131b12c575
14116350d2
15a32400b
hex6ee9580

116299136 has 64 divisors (see below), whose sum is σ = 239708160. Its totient is φ = 56179200.

The previous prime is 116299121. The next prime is 116299153. The reversal of 116299136 is 631992611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 116299136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608801 + ... + 608991.

It is an arithmetic number, because the mean of its divisors is an integer number (3745440).

Almost surely, 2116299136 is an apocalyptic number.

116299136 is a gapful number since it is divisible by the number (16) 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 116299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

116299136 is an abundant number, since it is smaller than the sum of its proper divisors (123409024).

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

116299136 is an equidigital number, since it uses as much as digits as its factorization.

116299136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 17496, while the sum is 38.

The square root of 116299136 is about 10784.2077131331. The cubic root of 116299136 is about 488.1187563707.

The spelling of 116299136 in words is "one hundred sixteen million, two hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 71 128 134 142 191 268 284 382 536 568 764 1072 1136 1528 2144 2272 3056 4288 4544 4757 6112 8576 9088 9514 12224 12797 13561 19028 24448 25594 27122 38056 51188 54244 76112 102376 108488 152224 204752 216976 304448 409504 433952 608896 819008 867904 908587 1638016 1735808 1817174 3634348 7268696 14537392 29074784 58149568 116299136