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96696 = 23321779
BaseRepresentation
bin10111100110111000
311220122100
4113212320
511043241
62023400
7551625
oct274670
9156570
1096696
1166716
1247b60
1335022
142734c
151d9b6
hex179b8

96696 has 48 divisors (see below), whose sum is σ = 280800. Its totient is φ = 29952.

The previous prime is 96671. The next prime is 96697. The reversal of 96696 is 69669.

96696 = 37 + 47 + 57.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (17496) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 96696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

296696 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 96696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

96696 is an abundant number, since it is smaller than the sum of its proper divisors (184104).

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

96696 is a wasteful number, since it uses less digits than its factorization.

96696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 96696 is about 310.9598044764. The cubic root of 96696 is about 45.8989590662.

The spelling of 96696 in words is "ninety-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1224 1343 1422 1896 2686 2844 4029 5372 5688 8058 10744 12087 16116 24174 32232 48348 96696