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315113232 = 24374092293
BaseRepresentation
bin10010110010000…
…011111100010000
3210221221102002110
4102302003330100
51121132110412
651133545320
710544263320
oct2262037420
9727842073
10315113232
11151967265
1289645240
135038cb45
142dbc9280
151c9e6d3c
hex12c83f10

315113232 has 80 divisors (see below), whose sum is σ = 933015680. Its totient is φ = 89773056.

The previous prime is 315113221. The next prime is 315113237. The reversal of 315113232 is 232311513.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 315113199 and 315113208.

It is not an unprimeable number, because it can be changed into a prime (315113237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136278 + ... + 138570.

It is an arithmetic number, because the mean of its divisors is an integer number (11662696).

Almost surely, 2315113232 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 315113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466507840).

315113232 is an abundant number, since it is smaller than the sum of its proper divisors (617902448).

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

315113232 is a wasteful number, since it uses less digits than its factorization.

315113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 315113232 is about 17751.4290128992. The cubic root of 315113232 is about 680.4907299722.

Adding to 315113232 its reverse (232311513), we get a palindrome (547424745).

It can be divided in two parts, 31511 and 3232, that added together give a palindrome (34743).

The spelling of 315113232 in words is "three hundred fifteen million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 409 818 1227 1636 2293 2454 2863 3272 4586 4908 5726 6544 6879 8589 9172 9816 11452 13758 16051 17178 18344 19632 22904 27516 32102 34356 36688 45808 48153 55032 64204 68712 96306 110064 128408 137424 192612 256816 385224 770448 937837 1875674 2813511 3751348 5627022 6564859 7502696 11254044 13129718 15005392 19694577 22508088 26259436 39389154 45016176 52518872 78778308 105037744 157556616 315113232