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315928 = 231723101
BaseRepresentation
bin1001101001000011000
3121001101001
41031020120
540102203
610434344
72454034
oct1151030
9531331
10315928
111a63a8
121329b4
13b0a52
14831c4
156391d
hex4d218

315928 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 140800.

The previous prime is 315907. The next prime is 315937. The reversal of 315928 is 829513.

It is a junction number, because it is equal to n+sod(n) for n = 315896 and 315905.

It is a congruent number.

It is an unprimeable number.

315928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 3178.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2315928 is an apocalyptic number.

It is an amenable number.

315928 is an abundant number, since it is smaller than the sum of its proper divisors (345032).

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

315928 is a wasteful number, since it uses less digits than its factorization.

315928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 315928 is about 562.0747281279. The cubic root of 315928 is about 68.1076725564.

It can be divided in two parts, 3 and 15928, that added together give a triangular number (15931 = T178).

The spelling of 315928 in words is "three hundred fifteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 17 23 34 46 68 92 101 136 184 202 391 404 782 808 1564 1717 2323 3128 3434 4646 6868 9292 13736 18584 39491 78982 157964 315928