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88660 = 225111331
BaseRepresentation
bin10101101001010100
311111121201
4111221110
510314120
61522244
7516325
oct255124
9144551
1088660
1160680
1243384
1331480
142444c
151b40a
hex15a54

88660 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 28800.

The previous prime is 88657. The next prime is 88661. The reversal of 88660 is 6688.

88660 = 243 + 253 + ... + 283.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

288660 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 88660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

88660 is an abundant number, since it is smaller than the sum of its proper divisors (137132).

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

88660 is a wasteful number, since it uses less digits than its factorization.

88660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 88660 is about 297.7582912364. The cubic root of 88660 is about 44.5905239710.

Adding to 88660 its sum of digits (28), we get a palindrome (88688).

It can be divided in two parts, 886 and 60, that added together give a triangular number (946 = T43).

The spelling of 88660 in words is "eighty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 1364 1430 1612 1705 2015 2860 3410 4030 4433 6820 8060 8866 17732 22165 44330 88660