Search a number
-
+
5182840320 = 293571753107
BaseRepresentation
bin1001101001110101…
…11101111000000000
3111101012102120022220
410310322331320000
541103301342240
62214142131040
7242302262430
oct46472757000
914335376286
105182840320
11221a63a709
121007880a80
136479b8528
143724982c0
152050215d0
hex134ebde00

5182840320 has 640 divisors, whose sum is σ = 20618966016. Its totient is φ = 1083703296.

The previous prime is 5182840301. The next prime is 5182840343. The reversal of 5182840320 is 230482815.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48437707 + ... + 48437813.

Almost surely, 25182840320 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 5182840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309483008).

5182840320 is an abundant number, since it is smaller than the sum of its proper divisors (15436125696).

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

5182840320 is a wasteful number, since it uses less digits than its factorization.

5182840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5182840320 is about 71991.9462162262. The cubic root of 5182840320 is about 1730.5704201161.

The spelling of 5182840320 in words is "five billion, one hundred eighty-two million, eight hundred forty thousand, three hundred twenty".