Search a number
-
+
15130839360 = 26357213109227
BaseRepresentation
bin11100001011101111…
…00100100101000000
31110001111100021112210
432011313210211000
5221441443324420
610541230222120
71043646004200
oct160567444500
943044307483
1015130839360
116464a6761a
122b23354940
1315719998b0
14a37762400
155d855b9e0
hex385de4940

15130839360 has 672 divisors, whose sum is σ = 61002184320. Its totient is φ = 3149217792.

The previous prime is 15130839337. The next prime is 15130839377. The reversal of 15130839360 is 6393803151.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66655567 + ... + 66655793.

It is an arithmetic number, because the mean of its divisors is an integer number (90777060).

Almost surely, 215130839360 is an apocalyptic number.

15130839360 is a gapful number since it is divisible by the number (10) 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 15130839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30501092160).

15130839360 is an abundant number, since it is smaller than the sum of its proper divisors (45871344960).

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

15130839360 is a wasteful number, since it uses less digits than its factorization.

15130839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 15130839360 in words is "fifteen billion, one hundred thirty million, eight hundred thirty-nine thousand, three hundred sixty".