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315940000 = 255415797
BaseRepresentation
bin10010110101001…
…101110010100000
3211000111102012111
4102311031302200
51121340040000
651203405104
710554305605
oct2265156240
9730442174
10315940000
11152381442
1289983794
13505bc25c
142dd626ac
151cb0bcba
hex12d4dca0

315940000 has 60 divisors (see below), whose sum is σ = 777308994. Its totient is φ = 126368000.

The previous prime is 315939997. The next prime is 315940013. The reversal of 315940000 is 49513.

It can be written as a sum of positive squares in 5 ways, for example, as 16096144 + 299843856 = 4012^2 + 17316^2 .

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 9 ways as a sum of consecutive naturals, for example, 12102 + ... + 27898.

Almost surely, 2315940000 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 315940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388654497).

315940000 is an abundant number, since it is smaller than the sum of its proper divisors (461368994).

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

315940000 is an equidigital number, since it uses as much as digits as its factorization.

315940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 315940000 is about 17774.7011226631. The cubic root of 315940000 is about 681.0853486439.

Adding to 315940000 its reverse (49513), we get a palindrome (315989513).

The spelling of 315940000 in words is "three hundred fifteen million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 15797 20000 31594 63188 78985 126376 157970 252752 315940 394925 505504 631880 789850 1263760 1579700 1974625 2527520 3159400 3949250 6318800 7898500 9873125 12637600 15797000 19746250 31594000 39492500 63188000 78985000 157970000 315940000