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130836464 = 24113731993
BaseRepresentation
bin1111100110001…
…10011111110000
3100010012011212222
413303012133300
5231443231324
620552140212
73146043263
oct763063760
9303164788
10130836464
1167943410
1237997668
132114c435
141353acda
15b74655e
hex7cc67f0

130836464 has 40 divisors (see below), whose sum is σ = 277421232. Its totient is φ = 59281920.

The previous prime is 130836463. The next prime is 130836467. The reversal of 130836464 is 464638031.

130836464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130836463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64652 + ... + 66644.

Almost surely, 2130836464 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 130836464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138710616).

130836464 is an abundant number, since it is smaller than the sum of its proper divisors (146584768).

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

130836464 is a wasteful number, since it uses less digits than its factorization.

130836464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 130836464 is about 11438.3768079217. The cubic root of 130836464 is about 507.6638816511.

The spelling of 130836464 in words is "one hundred thirty million, eight hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 373 746 1492 1993 2984 3986 4103 5968 7972 8206 15944 16412 21923 31888 32824 43846 65648 87692 175384 350768 743389 1486778 2973556 5947112 8177279 11894224 16354558 32709116 65418232 130836464