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130641192 = 2332111731313
BaseRepresentation
bin1111100100101…
…10110100101000
3100002211021000200
413302112310220
5231421004232
620544032200
73144301053
oct762266450
9302737020
10130641192
116781a730
1237902660
13210b15a6
14134c9a9a
15b70877c
hex7c96d28

130641192 has 192 divisors, whose sum is σ = 423221760. Its totient is φ = 35942400.

The previous prime is 130641167. The next prime is 130641193. The reversal of 130641192 is 291146031.

130641192 is a `hidden beast` number, since 1 + 3 + 0 + 641 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (130641193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417228 + ... + 417540.

It is an arithmetic number, because the mean of its divisors is an integer number (2204280).

Almost surely, 2130641192 is an apocalyptic number.

130641192 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 130641192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211610880).

130641192 is an abundant number, since it is smaller than the sum of its proper divisors (292580568).

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

130641192 is a wasteful number, since it uses less digits than its factorization.

130641192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130641192 is about 11429.8377941246. The cubic root of 130641192 is about 507.4111949574.

The spelling of 130641192 in words is "one hundred thirty million, six hundred forty-one thousand, one hundred ninety-two".