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215982 = 23213271
BaseRepresentation
bin110100101110101110
3101222021100
4310232232
523402412
64343530
71556454
oct645656
9358240
10215982
111382a8
12a4ba6
1377400
14589d4
1543edc
hex34bae

215982 has 36 divisors (see below), whose sum is σ = 513864. Its totient is φ = 65520.

The previous prime is 215981. The next prime is 215983. The reversal of 215982 is 289512.

215982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215981) and next prime (215983).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3007 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (14274).

2215982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256932).

215982 is an abundant number, since it is smaller than the sum of its proper divisors (297882).

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

215982 is a wasteful number, since it uses less digits than its factorization.

215982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 215982 is about 464.7386362247. The cubic root of 215982 is about 59.9983332870.

The spelling of 215982 in words is "two hundred fifteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 169 213 234 338 426 507 639 923 1014 1278 1521 1846 2769 3042 5538 8307 11999 16614 23998 35997 71994 107991 215982