Search a number
-
+
130473420 = 223571131911
BaseRepresentation
bin1111100011011…
…01110111001100
3100002111201212220
413301231313030
5231400122140
620540255340
73143001660
oct761556714
9302451786
10130473420
1167715680
1237841550
132105310c
14134848a0
15b6c3bd0
hex7c6ddcc

130473420 has 192 divisors, whose sum is σ = 470679552. Its totient is φ = 26208000.

The previous prime is 130473397. The next prime is 130473461. The reversal of 130473420 is 24374031.

130473420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

130473420 is strictly pandigital in base 9.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 142765 + ... + 143675.

It is an arithmetic number, because the mean of its divisors is an integer number (2451456).

Almost surely, 2130473420 is an apocalyptic number.

130473420 is a gapful number since it is divisible by the number (10) 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 130473420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235339776).

130473420 is an abundant number, since it is smaller than the sum of its proper divisors (340206132).

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

130473420 is a wasteful number, since it uses less digits than its factorization.

130473420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 130473420 is about 11422.4962245562. The cubic root of 130473420 is about 507.1938927489.

The spelling of 130473420 in words is "one hundred thirty million, four hundred seventy-three thousand, four hundred twenty".