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116569728 = 2732119199
BaseRepresentation
bin1101111001010…
…11011010000000
322010100100121100
412330223122000
5214320212403
615322254400
72613553302
oct674533200
9263310540
10116569728
115a889620
1233057400
131b1c5792
14116a5972
15a3792a3
hex6f2b680

116569728 has 96 divisors (see below), whose sum is σ = 365976000. Its totient is φ = 35320320.

The previous prime is 116569699. The next prime is 116569751. The reversal of 116569728 is 827965611.

116569728 is a `hidden beast` number, since 1 + 16 + 569 + 72 + 8 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 8073 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (3812250).

Almost surely, 2116569728 is an apocalyptic number.

116569728 is a gapful number since it is divisible by the number (18) 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 116569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988000).

116569728 is an abundant number, since it is smaller than the sum of its proper divisors (249406272).

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

116569728 is a wasteful number, since it uses less digits than its factorization.

116569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9215 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 116569728 is about 10796.7461765108. The cubic root of 116569728 is about 488.4970301054.

The spelling of 116569728 in words is "one hundred sixteen million, five hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 9199 12672 18398 27597 36796 55194 73592 82791 101189 110388 147184 165582 202378 220776 294368 303567 331164 404756 441552 588736 607134 662328 809512 883104 910701 1177472 1214268 1324656 1619024 1766208 1821402 2428536 2649312 3238048 3532416 3642804 4857072 5298624 6476096 7285608 9714144 10597248 12952192 14571216 19428288 29142432 38856576 58284864 116569728