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96012 = 22337127
BaseRepresentation
bin10111011100001100
311212201000
4113130030
511033022
62020300
7546630
oct273414
9155630
1096012
1166154
1247690
1334917
1426dc0
151d6ac
hex1770c

96012 has 48 divisors (see below), whose sum is σ = 286720. Its totient is φ = 27216.

The previous prime is 96001. The next prime is 96013. The reversal of 96012 is 21069.

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

It is not an unprimeable number, because it can be changed into a prime (96013) by changing a digit.

96012 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 15 ways as a sum of consecutive naturals, for example, 693 + ... + 819.

296012 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 96012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143360).

96012 is an abundant number, since it is smaller than the sum of its proper divisors (190708).

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

96012 is a wasteful number, since it uses less digits than its factorization.

96012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

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

The square root of 96012 is about 309.8580320082. The cubic root of 96012 is about 45.7904774797.

The spelling of 96012 in words is "ninety-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 508 756 762 889 1143 1524 1778 2286 2667 3429 3556 4572 5334 6858 8001 10668 13716 16002 24003 32004 48006 96012