Search a number
-
+
130464399 = 313312592
BaseRepresentation
bin1111100011010…
…11101010001111
3100002111021111210
413301223222033
5231344330044
620540145503
73142633452
oct761535217
9302437453
10130464399
116770991a
1237838293
132104bc90
1413481499
15b6c11b9
hex7c6ba8f

130464399 has 36 divisors (see below), whose sum is σ = 196907928. Its totient is φ = 76379040.

The previous prime is 130464377. The next prime is 130464407. The reversal of 130464399 is 993464031.

It is not a de Polignac number, because 130464399 - 211 = 130462351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130464319) 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 35 ways as a sum of consecutive naturals, for example, 2211232 + ... + 2211290.

Almost surely, 2130464399 is an apocalyptic number.

130464399 is a deficient number, since it is larger than the sum of its proper divisors (66443529).

130464399 is an equidigital number, since it uses as much as digits as its factorization.

130464399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 130464399 is about 11422.1013390707. The cubic root of 130464399 is about 507.1822032631.

Multiplying 130464399 by its sum of digits (39), we get a square (5088111561 = 713312).

130464399 divided by its sum of digits (39) gives a square (3345241 = 18292).

It can be divided in two parts, 1304 and 64399, that added together give a triangular number (65703 = T362).

The spelling of 130464399 in words is "one hundred thirty million, four hundred sixty-four thousand, three hundred ninety-nine".

Divisors: 1 3 13 31 39 59 93 177 403 767 961 1209 1829 2301 2883 3481 5487 10443 12493 23777 37479 45253 56699 71331 107911 135759 170097 323733 737087 1402843 2211261 3345241 4208529 10035723 43488133 130464399