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96712 = 23711157
BaseRepresentation
bin10111100111001000
311220122221
4113213020
511043322
62023424
7551650
oct274710
9156587
1096712
1166730
1247b74
1335035
1427360
151d9c7
hex179c8

96712 has 32 divisors (see below), whose sum is σ = 227520. Its totient is φ = 37440.

The previous prime is 96703. The next prime is 96731. The reversal of 96712 is 21769.

96712 is nontrivially palindromic in base 12.

It is an unprimeable number.

96712 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 7 ways as a sum of consecutive naturals, for example, 538 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (7110).

296712 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 96712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113760).

96712 is an abundant number, since it is smaller than the sum of its proper divisors (130808).

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

96712 is a wasteful number, since it uses less digits than its factorization.

96712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 96712 is about 310.9855302100. The cubic root of 96712 is about 45.9014905147.

It can be divided in two parts, 967 and 12, that added together give a palindrome (979).

The spelling of 96712 in words is "ninety-six thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 157 308 314 616 628 1099 1256 1727 2198 3454 4396 6908 8792 12089 13816 24178 48356 96712