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116042752 = 210716189
BaseRepresentation
bin1101110101010…
…10110000000000
322002100120201201
412322222300000
5214201332002
615303110544
72606230030
oct672526000
9262316651
10116042752
115a559701
1232a42454
131b06c967
14115a98c0
15a2c3087
hex6eaac00

116042752 has 44 divisors (see below), whose sum is σ = 265127440. Its totient is φ = 49729536.

The previous prime is 116042741. The next prime is 116042753. The reversal of 116042752 is 257240611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 116042752.

It is not an unprimeable number, because it can be changed into a prime (116042753) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 927 + ... + 15262.

Almost surely, 2116042752 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 116042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132563720).

116042752 is an abundant number, since it is smaller than the sum of its proper divisors (149084688).

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

116042752 is an equidigital number, since it uses as much as digits as its factorization.

116042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216 (or 16198 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 116042752 is about 10772.3141432099. The cubic root of 116042752 is about 487.7598029609.

The spelling of 116042752 in words is "one hundred sixteen million, forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 16189 32378 64756 113323 129512 226646 259024 453292 518048 906584 1036096 1813168 2072192 3626336 4144384 7252672 8288768 14505344 16577536 29010688 58021376 116042752