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315113024 = 2619479541
BaseRepresentation
bin10010110010000…
…011111001000000
3210221221101210202
4102302003321000
51121132104044
651133544332
710544262602
oct2262037100
9727841722
10315113024
11151967096
12896450a8
135038ca15
142dbc9172
151c9e6c4e
hex12c83e40

315113024 has 56 divisors (see below), whose sum is σ = 660806400. Its totient is φ = 148677120.

The previous prime is 315113021. The next prime is 315113039. The reversal of 315113024 is 420311513.

It is a junction number, because it is equal to n+sod(n) for n = 315112987 and 315113005.

It is not an unprimeable number, because it can be changed into a prime (315113021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582194 + ... + 582734.

Almost surely, 2315113024 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 315113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330403200).

315113024 is an abundant number, since it is smaller than the sum of its proper divisors (345693376).

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

315113024 is a wasteful number, since it uses less digits than its factorization.

315113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1041 counting only the distinct ones).

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

The square root of 315113024 is about 17751.4231542150. The cubic root of 315113024 is about 680.4905802460.

Adding to 315113024 its reverse (420311513), we get a palindrome (735424537).

The spelling of 315113024 in words is "three hundred fifteen million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 479 541 608 958 1082 1216 1916 2164 3832 4328 7664 8656 9101 10279 15328 17312 18202 20558 30656 34624 36404 41116 72808 82232 145616 164464 259139 291232 328928 518278 582464 657856 1036556 2073112 4146224 4923641 8292448 9847282 16584896 19694564 39389128 78778256 157556512 315113024