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116075648 = 271379883
BaseRepresentation
bin1101110101100…
…10110010000000
322002102020212002
412322302302000
5214203410043
615303523132
72606424653
oct672626200
9262366762
10116075648
115a581397
1232a594a8
131b081920
14115b789a
15a2ccbb8
hex6eb2c80

116075648 has 64 divisors (see below), whose sum is σ = 252470400. Its totient is φ = 52835328.

The previous prime is 116075639. The next prime is 116075653. The reversal of 116075648 is 846570611.

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

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, 131015 + ... + 131897.

It is an arithmetic number, because the mean of its divisors is an integer number (3944850).

Almost surely, 2116075648 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 116075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126235200).

116075648 is an abundant number, since it is smaller than the sum of its proper divisors (136394752).

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

116075648 is an equidigital number, since it uses as much as digits as its factorization.

116075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 116075648 is about 10773.8409121353. The cubic root of 116075648 is about 487.8058889371.

The spelling of 116075648 in words is "one hundred sixteen million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 316 416 632 832 883 1027 1264 1664 1766 2054 2528 3532 4108 5056 7064 8216 10112 11479 14128 16432 22958 28256 32864 45916 56512 65728 69757 91832 113024 131456 139514 183664 279028 367328 558056 734656 906841 1116112 1469312 1813682 2232224 3627364 4464448 7254728 8928896 14509456 29018912 58037824 116075648