Search a number
-
+
130601592 = 233311219263
BaseRepresentation
bin1111100100011…
…01001001111000
3100002202020201000
413302031021320
5231413222332
620543125000
73144044442
oct762151170
9302666630
10130601592
11677a2a00
12378a3760
1321099564
14134b9492
15b6ebb7c
hex7c8d278

130601592 has 192 divisors, whose sum is σ = 421344000. Its totient is φ = 37350720.

The previous prime is 130601557. The next prime is 130601617. The reversal of 130601592 is 295106031.

130601592 is a `hidden beast` number, since 1 + 3 + 0 + 601 + 59 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496453 + ... + 496715.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 2130601592 is an apocalyptic number.

130601592 is a gapful number since it is divisible by the number (12) 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 130601592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672000).

130601592 is an abundant number, since it is smaller than the sum of its proper divisors (290742408).

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

130601592 is a wasteful number, since it uses less digits than its factorization.

130601592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 130601592 is about 11428.1053547821. The cubic root of 130601592 is about 507.3599208950.

The spelling of 130601592 in words is "one hundred thirty million, six hundred one thousand, five hundred ninety-two".