Search a number
-
+
313143540 = 223510614919
BaseRepresentation
bin10010101010100…
…011000011110100
3210211020100011220
4102222203003310
51120131043130
651023430340
710521450633
oct2252430364
9724210156
10313143540
11150841416
1288a553b0
134cb50448
142d83551a
151c758410
hex12aa30f4

313143540 has 48 divisors (see below), whose sum is σ = 877806720. Its totient is φ = 83409280.

The previous prime is 313143533. The next prime is 313143559. The reversal of 313143540 is 45341313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313143540.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 61201 + ... + 66119.

It is an arithmetic number, because the mean of its divisors is an integer number (18287640).

Almost surely, 2313143540 is an apocalyptic number.

313143540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313143540 is an abundant number, since it is smaller than the sum of its proper divisors (564663180).

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

313143540 is a wasteful number, since it uses less digits than its factorization.

313143540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5992 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 313143540 is about 17695.8622282160. The cubic root of 313143540 is about 679.0699077701.

Adding to 313143540 its reverse (45341313), we get a palindrome (358484853).

The spelling of 313143540 in words is "three hundred thirteen million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1061 2122 3183 4244 4919 5305 6366 9838 10610 12732 14757 15915 19676 21220 24595 29514 31830 49190 59028 63660 73785 98380 147570 295140 5219059 10438118 15657177 20876236 26095295 31314354 52190590 62628708 78285885 104381180 156571770 313143540