Search a number
-
+
130459000 = 2353718637
BaseRepresentation
bin1111100011010…
…10010101111000
3100002111000002211
413301222111320
5231344142000
620540104504
73142611640
oct761522570
9302430084
10130459000
1167705861
1237835134
1321049699
141347d520
15b6be7ba
hex7c6a578

130459000 has 64 divisors (see below), whose sum is σ = 348903360. Its totient is φ = 44726400.

The previous prime is 130458961. The next prime is 130459009. The reversal of 130459000 is 954031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130459009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319 + ... + 16318.

It is an arithmetic number, because the mean of its divisors is an integer number (5451615).

Almost surely, 2130459000 is an apocalyptic number.

130459000 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 130459000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174451680).

130459000 is an abundant number, since it is smaller than the sum of its proper divisors (218444360).

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

130459000 is a wasteful number, since it uses less digits than its factorization.

130459000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18651 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 130459000 is about 11421.8649965756. The cubic root of 130459000 is about 507.1752069369.

The spelling of 130459000 in words is "one hundred thirty million, four hundred fifty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 18637 37274 74548 93185 130459 149096 186370 260918 372740 465925 521836 652295 745480 931850 1043672 1304590 1863700 2329625 2609180 3261475 3727400 4659250 5218360 6522950 9318500 13045900 16307375 18637000 26091800 32614750 65229500 130459000