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130470720 = 26351923311
BaseRepresentation
bin1111100011011…
…01001101000000
3100002111121011220
413301231031000
5231400030340
620540235040
73142661052
oct761551500
9302447156
10130470720
1167713646
123783ba80
1321051b13
14134838d2
15b6c2ed0
hex7c6d340

130470720 has 224 divisors, whose sum is σ = 456468480. Its totient is φ = 31426560.

The previous prime is 130470719. The next prime is 130470727. The reversal of 130470720 is 27074031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130470727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 419365 + ... + 419675.

Almost surely, 2130470720 is an apocalyptic number.

130470720 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 130470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

130470720 is an abundant number, since it is smaller than the sum of its proper divisors (325997760).

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

130470720 is a wasteful number, since it uses less digits than its factorization.

130470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 130470720 is about 11422.3780361184. The cubic root of 130470720 is about 507.1903941233.

It can be divided in two parts, 1 and 30470720, that added together give a triangular number (30470721 = T7806).

The spelling of 130470720 in words is "one hundred thirty million, four hundred seventy thousand, seven hundred twenty".