Search a number
-
+
130794048 = 2633711983
BaseRepresentation
bin1111100101111…
…00001001000000
3100010010000201000
413302330021000
5231440402143
620551212000
73145505520
oct762741100
9303100630
10130794048
1167914560
1237977000
1321136038
1413529680
15b738bd3
hex7cbc240

130794048 has 224 divisors, whose sum is σ = 479877120. Its totient is φ = 33937920.

The previous prime is 130794017. The next prime is 130794067. The reversal of 130794048 is 840497031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132565 + ... + 133547.

Almost surely, 2130794048 is an apocalyptic number.

130794048 is a gapful number since it is divisible by the number (18) 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 130794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

130794048 is an abundant number, since it is smaller than the sum of its proper divisors (349083072).

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

130794048 is a wasteful number, since it uses less digits than its factorization.

130794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130794048 is about 11436.5225483973. The cubic root of 130794048 is about 507.6090157065.

The spelling of 130794048 in words is "one hundred thirty million, seven hundred ninety-four thousand, forty-eight".