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96732168 = 233132910691
BaseRepresentation
bin1011100010000…
…00010000001000
320202000111120220
411301000100020
5144230412133
613333150040
72253131661
oct561002010
9222014526
1096732168
114a66a345
122848b320
131706b290
14cbc0368
15875b5b3
hex5c40408

96732168 has 64 divisors (see below), whose sum is σ = 269438400. Its totient is φ = 28734720.

The previous prime is 96732133. The next prime is 96732169. The reversal of 96732168 is 86123769.

It is a happy number.

It is a super-2 number, since 2×967321682 = 18714224651960448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96732169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (4209975).

Almost surely, 296732168 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 96732168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200).

96732168 is an abundant number, since it is smaller than the sum of its proper divisors (172706232).

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

96732168 is a wasteful number, since it uses less digits than its factorization.

96732168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10738 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 96732168 is about 9835.2512931801. The cubic root of 96732168 is about 459.0468100788.

The spelling of 96732168 in words is "ninety-six million, seven hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 10691 21382 32073 42764 64146 85528 128292 138983 256584 277966 310039 416949 555932 620078 833898 930117 1111864 1240156 1667796 1860234 2480312 3335592 3720468 4030507 7440936 8061014 12091521 16122028 24183042 32244056 48366084 96732168