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116136576 = 2732731381
BaseRepresentation
bin1101110110000…
…01101010000000
322002112100102200
412323001222000
5214212332301
615305113200
72610100413
oct673015200
9262470380
10116136576
115a613146
1232a88800
131b0a358a
14115d1b7a
15a2e0c86
hex6ec1a80

116136576 has 96 divisors (see below), whose sum is σ = 339018420. Its totient is φ = 38154240.

The previous prime is 116136563. The next prime is 116136583. The reversal of 116136576 is 675631611.

It can be written as a sum of positive squares in 2 ways, for example, as 116122176 + 14400 = 10776^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 116136576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83406 + ... + 84786.

Almost surely, 2116136576 is an apocalyptic number.

116136576 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 116136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169509210).

116136576 is an abundant number, since it is smaller than the sum of its proper divisors (222881844).

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

116136576 is a wasteful number, since it uses less digits than its factorization.

116136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1459 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 116136576 is about 10776.6681307350. The cubic root of 116136576 is about 487.8912236277.

The spelling of 116136576 in words is "one hundred sixteen million, one hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1381 1752 2336 2628 2762 3504 4143 4672 5256 5524 7008 8286 9344 10512 11048 12429 14016 16572 21024 22096 24858 28032 33144 42048 44192 49716 66288 84096 88384 99432 100813 132576 176768 198864 201626 265152 302439 397728 403252 530304 604878 795456 806504 907317 1209756 1590912 1613008 1814634 2419512 3226016 3629268 4839024 6452032 7258536 9678048 12904064 14517072 19356096 29034144 38712192 58068288 116136576