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315096 = 23319691
BaseRepresentation
bin1001100111011011000
3121000020020
41030323120
540040341
610430440
72451435
oct1147330
9530206
10315096
111a5811
12132420
13b0562
1482b8c
1563566
hex4ced8

315096 has 32 divisors (see below), whose sum is σ = 830400. Its totient is φ = 99360.

The previous prime is 315083. The next prime is 315097. The reversal of 315096 is 690513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315096.

It is not an unprimeable number, because it can be changed into a prime (315097) by changing a digit.

315096 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, 111 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (25950).

2315096 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 315096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415200).

315096 is an abundant number, since it is smaller than the sum of its proper divisors (515304).

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

315096 is a wasteful number, since it uses less digits than its factorization.

315096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 315096 is about 561.3341250984. The cubic root of 315096 is about 68.0478325510.

The spelling of 315096 in words is "three hundred fifteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 691 1382 2073 2764 4146 5528 8292 13129 16584 26258 39387 52516 78774 105032 157548 315096