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96912 = 2432673
BaseRepresentation
bin10111101010010000
311220221100
4113222100
511100122
62024400
7552354
oct275220
9156840
1096912
11668a2
1248100
133515a
1427464
151daac
hex17a90

96912 has 30 divisors (see below), whose sum is σ = 271622. Its totient is φ = 32256.

The previous prime is 96911. The next prime is 96931. The reversal of 96912 is 21969.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 20736 = 276^2 + 144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (96911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193 + ... + 480.

296912 is an apocalyptic number.

It is an amenable number.

96912 is an abundant number, since it is smaller than the sum of its proper divisors (174710).

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

96912 is a wasteful number, since it uses less digits than its factorization.

96912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 96912 is about 311.3069225057. The cubic root of 96912 is about 45.9331100900.

It can be divided in two parts, 969 and 12, that multiplied together give a triangular number (11628 = T152).

The spelling of 96912 in words is "ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 673 1346 2019 2692 4038 5384 6057 8076 10768 12114 16152 24228 32304 48456 96912