Search a number
-
+
130963392 = 26367401
BaseRepresentation
bin1111100111001…
…01011111000000
3100010102122000000
413303211133000
5232011312032
620555000000
73150112320
oct763453700
9303378000
10130963392
1167a1a80a
1237a39000
1321195141
1413571280
15b76de7c
hex7ce57c0

130963392 has 196 divisors, whose sum is σ = 446416176. Its totient is φ = 37324800.

The previous prime is 130963379. The next prime is 130963439. The reversal of 130963392 is 293369031.

It is a happy number.

130963392 is a `hidden beast` number, since 13 + 0 + 9 + 633 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326392 + ... + 326792.

Almost surely, 2130963392 is an apocalyptic number.

130963392 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 130963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223208088).

130963392 is an abundant number, since it is smaller than the sum of its proper divisors (315452784).

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

130963392 is an frugal number, since it uses more digits than its factorization.

130963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 130963392 is about 11443.9238026125. The cubic root of 130963392 is about 507.8279947562.

The spelling of 130963392 in words is "one hundred thirty million, nine hundred sixty-three thousand, three hundred ninety-two".