Search a number
-
+
130723220 = 22537241733
BaseRepresentation
bin1111100101010…
…10110110010100
3100002222102112202
413302222312110
5231431120340
620545504032
73145062155
oct762526624
9302872482
10130723220
1167876321
1237942018
132110ca24
141350b92c
15b722c15
hex7caad94

130723220 has 48 divisors (see below), whose sum is σ = 283494288. Its totient is φ = 50595840.

The previous prime is 130723199. The next prime is 130723223. The reversal of 130723220 is 22327031.

It can be written as a sum of positive squares in 8 ways, for example, as 42588676 + 88134544 = 6526^2 + 9388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130723192 and 130723201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130723223) 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, 177974 + ... + 178706.

It is an arithmetic number, because the mean of its divisors is an integer number (5906131).

Almost surely, 2130723220 is an apocalyptic number.

130723220 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 130723220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141747144).

130723220 is an abundant number, since it is smaller than the sum of its proper divisors (152771068).

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

130723220 is a wasteful number, since it uses less digits than its factorization.

130723220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 130723220 is about 11433.4255584230. The cubic root of 130723220 is about 507.5173718240.

The spelling of 130723220 in words is "one hundred thirty million, seven hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 241 370 482 733 740 964 1205 1466 2410 2932 3665 4820 7330 8917 14660 17834 27121 35668 44585 54242 89170 108484 135605 176653 178340 271210 353306 542420 706612 883265 1766530 3533060 6536161 13072322 26144644 32680805 65361610 130723220