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9612 = 223389
BaseRepresentation
bin10010110001100
3111012000
42112030
5301422
6112300
740011
oct22614
914160
109612
117249
125690
1344b5
143708
152cac
hex258c

9612 has 24 divisors (see below), whose sum is σ = 25200. Its totient is φ = 3168.

The previous prime is 9601. The next prime is 9613. The reversal of 9612 is 2169.

Adding to 9612 its reverse (2169), we get a triangular number (11781 = T153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

29612 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 9612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

9612 is an abundant number, since it is smaller than the sum of its proper divisors (15588).

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

9612 is a wasteful number, since it uses less digits than its factorization.

9612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 9612 is about 98.0408078302. The cubic root of 9612 is about 21.2620231845.

The spelling of 9612 in words is "nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612