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88620 = 22357211
BaseRepresentation
bin10101101000101100
311111120020
4111220230
510313440
61522140
7516240
oct255054
9144506
1088620
1160644
1243350
133144c
1424420
151b3d0
hex15a2c

88620 has 48 divisors (see below), whose sum is σ = 284928. Its totient is φ = 20160.

The previous prime is 88609. The next prime is 88643. The reversal of 88620 is 2688.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (5936).

288620 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 88620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142464).

88620 is an abundant number, since it is smaller than the sum of its proper divisors (196308).

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

88620 is a wasteful number, since it uses less digits than its factorization.

88620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 88620 is about 297.6911150841. The cubic root of 88620 is about 44.5838171161.

The spelling of 88620 in words is "eighty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 22155 29540 44310 88620