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215040 = 211357
BaseRepresentation
bin110100100000000000
3101220222110
4310200000
523340130
64335320
71553640
oct644000
9356873
10215040
11137621
12a4540
1376b57
1458520
1543ab0
hex34800

215040 has 96 divisors (see below), whose sum is σ = 786240. Its totient is φ = 49152.

The previous prime is 214993. The next prime is 215051. The reversal of 215040 is 40512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

215040 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, 30717 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

215040 is a Friedman number, since it can be written as 4^5*(210+0), using all its digits and the basic arithmetic operations.

2215040 is an apocalyptic number.

215040 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 215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

215040 is an abundant number, since it is smaller than the sum of its proper divisors (571200).

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

215040 is an equidigital number, since it uses as much as digits as its factorization.

215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 215040 is about 463.7240558781. The cubic root of 215040 is about 59.9109790977.

Adding to 215040 its reverse (40512), we get a palindrome (255552).

The spelling of 215040 in words is "two hundred fifteen thousand, forty".