Search a number
-
+
6130932880 = 24576636661
BaseRepresentation
bin1011011010110111…
…01001110010010000
3120211021102122211011
411231123221302100
5100024004323010
62452211100304
7304634032612
oct55533516220
916737378734
106130932880
11266682a686
1212312a1694
13769250047
14422372db2
1525d39ca8a
hex16d6e9c90

6130932880 has 20 divisors (see below), whose sum is σ = 14254419132. Its totient is φ = 2452373120.

The previous prime is 6130932869. The next prime is 6130932883. The reversal of 6130932880 is 882390316.

It can be written as a sum of positive squares in 2 ways, for example, as 4215645184 + 1915287696 = 64928^2 + 43764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6130932883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38318251 + ... + 38318410.

Almost surely, 26130932880 is an apocalyptic number.

It is an amenable number.

6130932880 is an abundant number, since it is smaller than the sum of its proper divisors (8123486252).

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

6130932880 is a wasteful number, since it uses less digits than its factorization.

6130932880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76636674 (or 76636668 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 6130932880 is about 78300.2738181675. The cubic root of 6130932880 is about 1830.2434187035.

The spelling of 6130932880 in words is "six billion, one hundred thirty million, nine hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 76636661 153273322 306546644 383183305 613093288 766366610 1226186576 1532733220 3065466440 6130932880