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315001040 = 2453937513
BaseRepresentation
bin10010110001101…
…000100011010000
3210221201201012012
4102301220203100
51121120013130
651131322052
710543315244
oct2261504320
9727651165
10315001040
1115189aa42
12895b0328
1350350a63
142db9a424
151c9c3995
hex12c688d0

315001040 has 20 divisors (see below), whose sum is σ = 732377604. Its totient is φ = 126000384.

The previous prime is 315001039. The next prime is 315001061. The reversal of 315001040 is 40100513.

It can be written as a sum of positive squares in 2 ways, for example, as 50353216 + 264647824 = 7096^2 + 16268^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1968677 + ... + 1968836.

Almost surely, 2315001040 is an apocalyptic number.

It is an amenable number.

315001040 is an abundant number, since it is smaller than the sum of its proper divisors (417376564).

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

315001040 is a wasteful number, since it uses less digits than its factorization.

315001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937526 (or 3937520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 315001040 is about 17748.2686479555. The cubic root of 315001040 is about 680.4099604047.

Adding to 315001040 its reverse (40100513), we get a palindrome (355101553).

The spelling of 315001040 in words is "three hundred fifteen million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3937513 7875026 15750052 19687565 31500104 39375130 63000208 78750260 157500520 315001040