Search a number
-
+
315830137 = 7227723269
BaseRepresentation
bin10010110100110…
…010111101111001
3211000021211111111
4102310302331321
51121323031022
651201200321
710553340400
oct2264627571
9730254444
10315830137
11152306947
12899300a1
135058124c
142dd34637
151cad9477
hex12d32f79

315830137 has 12 divisors (see below), whose sum is σ = 368736420. Its totient is φ = 269722656.

The previous prime is 315830129. The next prime is 315830143. The reversal of 315830137 is 731038513.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88906041 + 226924096 = 9429^2 + 15064^2 .

It is not a de Polignac number, because 315830137 - 23 = 315830129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315830099 and 315830108.

It is not an unprimeable number, because it can be changed into a prime (315830107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1939 + ... + 25207.

It is an arithmetic number, because the mean of its divisors is an integer number (30728035).

Almost surely, 2315830137 is an apocalyptic number.

It is an amenable number.

315830137 is a deficient number, since it is larger than the sum of its proper divisors (52906283).

315830137 is a wasteful number, since it uses less digits than its factorization.

315830137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23560 (or 23553 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 315830137 is about 17771.6104222437. The cubic root of 315830137 is about 681.0063940381.

The spelling of 315830137 in words is "three hundred fifteen million, eight hundred thirty thousand, one hundred thirty-seven".

Divisors: 1 7 49 277 1939 13573 23269 162883 1140181 6445513 45118591 315830137