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215880 = 23357257
BaseRepresentation
bin110100101101001000
3101222010120
4310231020
523402010
64343240
71556250
oct645510
9358116
10215880
11138215
12a4b20
1377352
1458960
1543e70
hex34b48

215880 has 64 divisors (see below), whose sum is σ = 743040. Its totient is φ = 49152.

The previous prime is 215863. The next prime is 215893. The reversal of 215880 is 88512.

215880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215880.

It is a congruent number.

It is an unprimeable number.

215880 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 15 ways as a sum of consecutive naturals, for example, 712 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (11610).

2215880 is an apocalyptic number.

215880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371520).

215880 is an abundant number, since it is smaller than the sum of its proper divisors (527160).

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

215880 is a wasteful number, since it uses less digits than its factorization.

215880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 215880 is about 464.6288841646. The cubic root of 215880 is about 59.9888868306.

The spelling of 215880 in words is "two hundred fifteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 257 280 420 514 771 840 1028 1285 1542 1799 2056 2570 3084 3598 3855 5140 5397 6168 7196 7710 8995 10280 10794 14392 15420 17990 21588 26985 30840 35980 43176 53970 71960 107940 215880