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315640 = 23513607
BaseRepresentation
bin1001101000011111000
3121000222101
41031003320
540100030
610433144
72453143
oct1150370
9530871
10315640
111a6166
121327b4
13b0890
148305a
15637ca
hex4d0f8

315640 has 32 divisors (see below), whose sum is σ = 766080. Its totient is φ = 116352.

The previous prime is 315631. The next prime is 315643. The reversal of 315640 is 46513.

315640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2315640 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 315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

315640 is an abundant number, since it is smaller than the sum of its proper divisors (450440).

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

315640 is a wasteful number, since it uses less digits than its factorization.

315640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 315640 is about 561.8184760223. The cubic root of 315640 is about 68.0869706105.

It can be divided in two parts, 31 and 5640, that added together give a triangular number (5671 = T106).

The spelling of 315640 in words is "three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 607 1214 2428 3035 4856 6070 7891 12140 15782 24280 31564 39455 63128 78910 157820 315640