Search a number
-
+
5315880000 = 26354311429
BaseRepresentation
bin1001111001101100…
…11110010001000000
3111201110202200110110
410330312132101000
541341331130000
62235253431320
7245506143264
oct47466362100
914643680413
105315880000
112288748362
12104433b540
13669429732
1438600a0a4
15211a50850
hex13cd9e440

5315880000 has 280 divisors, whose sum is σ = 18155188480. Its totient is φ = 1370880000.

The previous prime is 5315879977. The next prime is 5315880007. The reversal of 5315880000 is 885135.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5315880000.

It is not an unprimeable number, because it can be changed into a prime (5315880007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3719286 + ... + 3720714.

Almost surely, 25315880000 is an apocalyptic number.

5315880000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5315880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9077594240).

5315880000 is an abundant number, since it is smaller than the sum of its proper divisors (12839308480).

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

5315880000 is a wasteful number, since it uses less digits than its factorization.

5315880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5315880000 is about 72910.0816074156. The cubic root of 5315880000 is about 1745.2529853269.

The spelling of 5315880000 in words is "five billion, three hundred fifteen million, eight hundred eighty thousand".