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130463190 = 2335111331109
BaseRepresentation
bin1111100011010…
…11010111010110
3100002111012212000
413301223113112
5231344310230
620540140130
73142630104
oct761532726
9302435760
10130463190
1167708a20
1237837646
132104b570
1413480c74
15b6c0b60
hex7c6b5d6

130463190 has 256 divisors, whose sum is σ = 425779200. Its totient is φ = 27993600.

The previous prime is 130463173. The next prime is 130463197. The reversal of 130463190 is 91364031.

130463190 is a `hidden beast` number, since 13 + 0 + 463 + 190 = 666.

It is a super-2 number, since 2×1304631902 = 34041287889952200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130463197) 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 127 ways as a sum of consecutive naturals, for example, 1196856 + ... + 1196964.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2130463190 is an apocalyptic number.

130463190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130463190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

130463190 is an abundant number, since it is smaller than the sum of its proper divisors (295316010).

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

130463190 is a wasteful number, since it uses less digits than its factorization.

130463190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130463190 is about 11422.0484152362. The cubic root of 130463190 is about 507.1806365901.

The spelling of 130463190 in words is "one hundred thirty million, four hundred sixty-three thousand, one hundred ninety".