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315105040 = 24511033571
BaseRepresentation
bin10010110010000…
…001111100010000
3210221220222212001
4102302001330100
51121131330130
651133443344
710544230405
oct2262017420
9727828761
10315105040
11151961098
1289640554
13503891b3
142dbc62ac
151c9e46ca
hex12c81f10

315105040 has 40 divisors (see below), whose sum is σ = 733488768. Its totient is φ = 125892480.

The previous prime is 315105031. The next prime is 315105041. The reversal of 315105040 is 40501513.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 315104999 and 315105017.

It is not an unprimeable number, because it can be changed into a prime (315105041) 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, 86455 + ... + 90025.

Almost surely, 2315105040 is an apocalyptic number.

It is an amenable number.

315105040 is an abundant number, since it is smaller than the sum of its proper divisors (418383728).

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

315105040 is a wasteful number, since it uses less digits than its factorization.

315105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 315105040 is about 17751.1982694127. The cubic root of 315105040 is about 680.4848330143.

Adding to 315105040 its reverse (40501513), we get a palindrome (355606553).

The spelling of 315105040 in words is "three hundred fifteen million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1103 2206 3571 4412 5515 7142 8824 11030 14284 17648 17855 22060 28568 35710 44120 57136 71420 88240 142840 285680 3938813 7877626 15755252 19694065 31510504 39388130 63021008 78776260 157552520 315105040