Search a number
-
+
130284600 = 233521753241
BaseRepresentation
bin1111100001111…
…11110000111000
3100002011010212120
413300333300320
5231323101400
620532241240
73141254325
oct760776070
9302133776
10130284600
11675a6826
1237770220
1320cb81a4
1413435b4c
15b687ca0
hex7c3fc38

130284600 has 192 divisors, whose sum is σ = 437516640. Its totient is φ = 31948800.

The previous prime is 130284541. The next prime is 130284619. The reversal of 130284600 is 6482031.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540480 + ... + 540720.

Almost surely, 2130284600 is an apocalyptic number.

130284600 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 130284600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218758320).

130284600 is an abundant number, since it is smaller than the sum of its proper divisors (307232040).

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

130284600 is a wasteful number, since it uses less digits than its factorization.

130284600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130284600 is about 11414.2279633797. The cubic root of 130284600 is about 506.9491057612.

The spelling of 130284600 in words is "one hundred thirty million, two hundred eighty-four thousand, six hundred".