Search a number
-
+
5130975360 = 273571721321
BaseRepresentation
bin1001100011101010…
…00111100010000000
3111020120211112222110
410301311013202000
541002012202420
62205050335320
7241102366560
oct46165074200
914216745873
105130975360
1121a3335805
12bb242a540
1363a0292c4
14369636da0
152006c8ee0
hex131d47880

5130975360 has 384 divisors, whose sum is σ = 19870611840. Its totient is φ = 1102970880.

The previous prime is 5130975359. The next prime is 5130975371. The reversal of 5130975360 is 635790315.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3883500 + ... + 3884820.

It is an arithmetic number, because the mean of its divisors is an integer number (51746385).

Almost surely, 25130975360 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 5130975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9935305920).

5130975360 is an abundant number, since it is smaller than the sum of its proper divisors (14739636480).

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

5130975360 is a wasteful number, since it uses less digits than its factorization.

5130975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 5130975360 is about 71630.8268834027. The cubic root of 5130975360 is about 1724.7784197639.

The spelling of 5130975360 in words is "five billion, one hundred thirty million, nine hundred seventy-five thousand, three hundred sixty".