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88680 = 2335739
BaseRepresentation
bin10101101001101000
311111122110
4111221220
510314210
61522320
7516354
oct255150
9144573
1088680
1160699
12433a0
1331497
1424464
151b420
hex15a68

88680 has 32 divisors (see below), whose sum is σ = 266400. Its totient is φ = 23616.

The previous prime is 88667. The next prime is 88681. The reversal of 88680 is 8688.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (88681) by changing a digit.

88680 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, 250 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (8325).

288680 is an apocalyptic number.

It is an amenable number.

88680 is an abundant number, since it is smaller than the sum of its proper divisors (177720).

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 (133200).

88680 is a wasteful number, since it uses less digits than its factorization.

88680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

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

The square root of 88680 is about 297.7918736299. The cubic root of 88680 is about 44.5938766420.

The spelling of 88680 in words is "eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 14780 17736 22170 29560 44340 88680