Search a number
-
+
130535496 = 233371329229
BaseRepresentation
bin1111100011111…
…01000001001000
3100002121220001000
413301331001020
5231404113441
620541455000
73143350650
oct761750110
9302556030
10130535496
1167758283
1237871460
1321075450
141349d360
15b6d72b6
hex7c7d048

130535496 has 256 divisors, whose sum is σ = 463680000. Its totient is φ = 33094656.

The previous prime is 130535437. The next prime is 130535507. The reversal of 130535496 is 694535031.

130535496 is a `hidden beast` number, since 1 + 30 + 535 + 4 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130535496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569910 + ... + 570138.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 2130535496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130535496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840000).

130535496 is an abundant number, since it is smaller than the sum of its proper divisors (333144504).

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

130535496 is a wasteful number, since it uses less digits than its factorization.

130535496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 130535496 is about 11425.2131708778. The cubic root of 130535496 is about 507.2743167316.

The spelling of 130535496 in words is "one hundred thirty million, five hundred thirty-five thousand, four hundred ninety-six".