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116845824 = 283353431
BaseRepresentation
bin1101111011011…
…10110100000000
322010212101100010
412331232310000
5214403031244
615332224520
72616113244
oct675566400
9263771303
10116845824
115aa57aa7
123316b140
131b291354
1411738424
15a3d0eb9
hex6f6ed00

116845824 has 72 divisors (see below), whose sum is σ = 312584832. Its totient is φ = 38748160.

The previous prime is 116845787. The next prime is 116845831. The reversal of 116845824 is 428548611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270889 + ... + 271319.

It is an arithmetic number, because the mean of its divisors is an integer number (4341456).

Almost surely, 2116845824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116845824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156292416).

116845824 is an abundant number, since it is smaller than the sum of its proper divisors (195739008).

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

116845824 is an equidigital number, since it uses as much as digits as its factorization.

116845824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 116845824 is about 10809.5246889028. The cubic root of 116845824 is about 488.8823952612.

The spelling of 116845824 in words is "one hundred sixteen million, eight hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 431 706 768 862 1059 1293 1412 1724 2118 2586 2824 3448 4236 5172 5648 6896 8472 10344 11296 13792 16944 20688 22592 27584 33888 41376 45184 55168 67776 82752 90368 110336 135552 152143 165504 271104 304286 331008 456429 608572 912858 1217144 1825716 2434288 3651432 4868576 7302864 9737152 14605728 19474304 29211456 38948608 58422912 116845824