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215392 = 2553127
BaseRepresentation
bin110100100101100000
3101221110111
4310211200
523343032
64341104
71554652
oct644540
9357414
10215392
11137911
12a4794
1377068
14586d2
1543c47
hex34960

215392 has 24 divisors (see below), whose sum is σ = 435456. Its totient is φ = 104832.

The previous prime is 215389. The next prime is 215393. The reversal of 215392 is 293512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1633 + ... + 1759.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2215392 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 215392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

215392 is an abundant number, since it is smaller than the sum of its proper divisors (220064).

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

215392 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (215391) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (182).

215392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 215392 is about 464.1034367466. The cubic root of 215392 is about 59.9436507997.

The spelling of 215392 in words is "two hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 106 127 212 254 424 508 848 1016 1696 2032 4064 6731 13462 26924 53848 107696 215392