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86760 = 23325241
BaseRepresentation
bin10101001011101000
311102000100
4111023220
510234020
61505400
7510642
oct251350
9142010
1086760
115a203
1242260
133064b
1423892
151aa90
hex152e8

86760 has 48 divisors (see below), whose sum is σ = 283140. Its totient is φ = 23040.

The previous prime is 86753. The next prime is 86767. The reversal of 86760 is 6768.

Adding to 86760 its reverse (6768), we get a triangular number (93528 = T432).

It is an interprime number because it is at equal distance from previous prime (86753) and next prime (86767).

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 324 = 294^2 + 18^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86760.

It is not an unprimeable number, because it can be changed into a prime (86767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 480.

286760 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 86760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141570).

86760 is an abundant number, since it is smaller than the sum of its proper divisors (196380).

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

86760 is a wasteful number, since it uses less digits than its factorization.

86760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86760 is about 294.5505050072. The cubic root of 86760 is about 44.2696934270.

The spelling of 86760 in words is "eighty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 241 360 482 723 964 1205 1446 1928 2169 2410 2892 3615 4338 4820 5784 7230 8676 9640 10845 14460 17352 21690 28920 43380 86760