Search a number
-
+
130862160 = 2432511133141
BaseRepresentation
bin1111100110011…
…00110001010000
3100010020111010200
413303030301100
5232000042120
620552455200
73146211222
oct763146120
9303214120
10130862160
1167960750
12379aa500
132115b040
1413546412
15b74de90
hex7cccc50

130862160 has 480 divisors, whose sum is σ = 545965056. Its totient is φ = 27648000.

The previous prime is 130862153. The next prime is 130862183. The reversal of 130862160 is 61268031.

130862160 is a `hidden beast` number, since 1 + 30 + 8 + 621 + 6 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3191740 + ... + 3191780.

Almost surely, 2130862160 is an apocalyptic number.

130862160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11439×11440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130862160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

130862160 is an abundant number, since it is smaller than the sum of its proper divisors (415102896).

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

130862160 is a wasteful number, since it uses less digits than its factorization.

130862160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130862160 is about 11439.4999890729. The cubic root of 130862160 is about 507.6971141736.

The spelling of 130862160 in words is "one hundred thirty million, eight hundred sixty-two thousand, one hundred sixty".