Search a number
15880 = 235397
BaseRepresentation
bin11111000001000
3210210011
43320020
51002010
6201304
764204
oct37010
923704
1015880
1110a27
129234
1372c7
145b04
154a8a
hex3e08

15880 has 16 divisors (see below), whose sum is σ = 35820. Its totient is φ = 6336.

The previous prime is 15877. The next prime is 15881. The reversal of 15880 is 8851.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 4 = 126^2 + 2^2 .

It is not an unprimeable number, because it can be changed into a prime (15881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 238.

215880 is an apocalyptic number.

15880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15880 is the 80-th heptagonal number.

It is an amenable number.

15880 is an abundant number, since it is smaller than the sum of its proper divisors (19940).

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 (17910).

15880 is a wasteful number, since it uses less digits than its factorization.

15880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 15880 is about 126.0158720162. The cubic root of 15880 is about 25.1352667958.

The spelling of 15880 in words is "fifteen thousand, eight hundred eighty".