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315213140 = 225119714771
BaseRepresentation
bin10010110010011…
…100010101010100
3210222010111010202
4102302130111110
51121143310030
651140040032
710545160514
oct2262342524
9728114122
10315213140
11151a25330
1289693018
13503c6468
142dc13844
151ca16745
hex12c9c554

315213140 has 48 divisors (see below), whose sum is σ = 729618624. Its totient is φ = 113433600.

The previous prime is 315213121. The next prime is 315213181. The reversal of 315213140 is 41312513.

315213140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13955 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (15200388).

Almost surely, 2315213140 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 315213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364809312).

315213140 is an abundant number, since it is smaller than the sum of its proper divisors (414405484).

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

315213140 is a wasteful number, since it uses less digits than its factorization.

315213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 315213140 is about 17754.2428731839. The cubic root of 315213140 is about 680.5626398732.

Adding to 315213140 its reverse (41312513), we get a palindrome (356525653).

The spelling of 315213140 in words is "three hundred fifteen million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 14771 21340 29542 59084 73855 147710 162481 295420 324962 649924 812405 1432787 1624810 2865574 3249620 5731148 7163935 14327870 15760657 28655740 31521314 63042628 78803285 157606570 315213140