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116936336 = 2411317219
BaseRepresentation
bin1101111100001…
…00111010010000
322011000222111102
412332010322100
5214413430321
615334203532
72616641156
oct676047220
9264028442
10116936336
116000a000
12331b35a8
131b2c35ca
141175d3d6
15a3ecc0b
hex6f84e90

116936336 has 120 divisors (see below), whose sum is σ = 278657760. Its totient is φ = 47393280.

The previous prime is 116936327. The next prime is 116936357. The reversal of 116936336 is 633639611.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 116936336.

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 23 ways as a sum of consecutive naturals, for example, 6154535 + ... + 6154553.

It is an arithmetic number, because the mean of its divisors is an integer number (2322148).

Almost surely, 2116936336 is an apocalyptic number.

116936336 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 116936336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139328880).

116936336 is an abundant number, since it is smaller than the sum of its proper divisors (161721424).

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

116936336 is a wasteful number, since it uses less digits than its factorization.

116936336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its digits is 52488, while the sum is 38.

The square root of 116936336 is about 10813.7105565111. The cubic root of 116936336 is about 489.0085966123.

The spelling of 116936336 in words is "one hundred sixteen million, nine hundred thirty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 121 136 152 176 187 209 242 272 289 304 323 374 418 484 578 646 748 836 968 1156 1292 1331 1496 1672 1936 2057 2299 2312 2584 2662 2992 3179 3344 3553 4114 4598 4624 5168 5324 5491 6358 7106 8228 9196 10648 10982 12716 14212 16456 18392 21296 21964 22627 25289 25432 28424 32912 34969 36784 39083 43928 45254 50578 50864 56848 60401 69938 78166 87856 90508 101156 120802 139876 156332 181016 202312 241604 279752 312664 362032 384659 404624 429913 483208 559504 625328 664411 769318 859826 966416 1328822 1538636 1719652 2657644 3077272 3439304 5315288 6154544 6878608 7308521 10630576 14617042 29234084 58468168 116936336