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88068 = 22341179
BaseRepresentation
bin10101100000000100
311110210210
4111200010
510304233
61515420
7514521
oct254004
9143723
1088068
1160192
1242b70
1331116
1424148
151b163
hex15804

88068 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 28480.

The previous prime is 88037. The next prime is 88069. The reversal of 88068 is 86088.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88068.

It is not an unprimeable number, because it can be changed into a prime (88069) by changing a digit.

88068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

288068 is an apocalyptic number.

It is an amenable number.

88068 is an abundant number, since it is smaller than the sum of its proper divisors (123612).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

88068 is a wasteful number, since it uses less digits than its factorization.

88068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 88068 is about 296.7625313277. The cubic root of 88068 is about 44.4910557288.

The spelling of 88068 in words is "eighty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 164 179 246 358 492 537 716 1074 2148 7339 14678 22017 29356 44034 88068