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86922 = 23211439
BaseRepresentation
bin10101001110001010
311102020100
4111032022
510240142
61510230
7511263
oct251612
9142210
1086922
115a340
1242376
1330744
142396a
151ab4c
hex1538a

86922 has 24 divisors (see below), whose sum is σ = 205920. Its totient is φ = 26280.

The previous prime is 86869. The next prime is 86923. The reversal of 86922 is 22968.

It is an Ulam number.

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 86922.

It is not an unprimeable number, because it can be changed into a prime (86923) by changing a digit.

86922 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 11 ways as a sum of consecutive naturals, for example, 22 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

286922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

86922 is an abundant number, since it is smaller than the sum of its proper divisors (118998).

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

86922 is a wasteful number, since it uses less digits than its factorization.

86922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 86922 is about 294.8253720425. The cubic root of 86922 is about 44.2972300462.

The spelling of 86922 in words is "eighty-six thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 439 878 1317 2634 3951 4829 7902 9658 14487 28974 43461 86922