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96312 = 2334013
BaseRepresentation
bin10111100000111000
311220010010
4113200320
511040222
62021520
7550536
oct274070
9156103
1096312
11663a7
12478a0
1334ab8
1427156
151d80c
hex17838

96312 has 16 divisors (see below), whose sum is σ = 240840. Its totient is φ = 32096.

The previous prime is 96293. The next prime is 96323. The reversal of 96312 is 21369.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96312.

It is an unprimeable number.

96312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1983 + ... + 2030.

296312 is an apocalyptic number.

It is an amenable number.

96312 is an abundant number, since it is smaller than the sum of its proper divisors (144528).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120420).

96312 is a wasteful number, since it uses less digits than its factorization.

96312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 96312 is about 310.3417471111. The cubic root of 96312 is about 45.8381203448.

The spelling of 96312 in words is "ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4013 8026 12039 16052 24078 32104 48156 96312