Search a number
-
+
130526560 = 2551395869
BaseRepresentation
bin1111100011110…
…10110101100000
3100002121102210001
413301322311200
5231403322220
620541345344
73143312623
oct761726540
9302542701
10130526560
116775159a
1237868254
1321071368
1413499dba
15b6d480a
hex7c7ad60

130526560 has 48 divisors (see below), whose sum is σ = 310640400. Its totient is φ = 51826176.

The previous prime is 130526531. The next prime is 130526569. The reversal of 130526560 is 65625031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130526569) 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, 19306 + ... + 25174.

It is an arithmetic number, because the mean of its divisors is an integer number (6471675).

Almost surely, 2130526560 is an apocalyptic number.

130526560 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 130526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155320200).

130526560 is an abundant number, since it is smaller than the sum of its proper divisors (180113840).

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

130526560 is a wasteful number, since it uses less digits than its factorization.

130526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 130526560 is about 11424.8220992714. The cubic root of 130526560 is about 507.2627410635.

The spelling of 130526560 in words is "one hundred thirty million, five hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 5869 11120 11738 22240 23476 29345 46952 58690 93904 117380 187808 234760 469520 815791 939040 1631582 3263164 4078955 6526328 8157910 13052656 16315820 26105312 32631640 65263280 130526560