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315016 = 23132233
BaseRepresentation
bin1001100111010001000
3121000010021
41030322020
540040031
610430224
72451262
oct1147210
9530107
10315016
111a5749
12132374
13b0500
1482b32
1563511
hex4ce88

315016 has 24 divisors (see below), whose sum is σ = 642330. Its totient is φ = 144768.

The previous prime is 315013. The next prime is 315037. The reversal of 315016 is 610513.

It can be written as a sum of positive squares in 3 ways, for example, as 108900 + 206116 = 330^2 + 454^2 .

It is not an unprimeable number, because it can be changed into a prime (315011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1236 + ... + 1468.

2315016 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 315016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321165).

315016 is an abundant number, since it is smaller than the sum of its proper divisors (327314).

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

315016 is a wasteful number, since it uses less digits than its factorization.

315016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 315016 is about 561.2628617680. The cubic root of 315016 is about 68.0420731556.

Adding to 315016 its reverse (610513), we get a palindrome (925529).

The spelling of 315016 in words is "three hundred fifteen thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 233 338 466 676 932 1352 1864 3029 6058 12116 24232 39377 78754 157508 315016