Search a number
-
+
67130 = 2572137
BaseRepresentation
bin10000011000111010
310102002022
4100120322
54122010
61234442
7366500
oct203072
9112068
1067130
1146488
1232a22
132472b
141a670
1514d55
hex1063a

67130 has 24 divisors (see below), whose sum is σ = 141588. Its totient is φ = 22848.

The previous prime is 67129. The next prime is 67139. The reversal of 67130 is 3176.

It can be written as a sum of positive squares in 2 ways, for example, as 67081 + 49 = 259^2 + 7^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67099 and 67108.

It is not an unprimeable number, because it can be changed into a prime (67139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422 + ... + 558.

267130 is an apocalyptic number.

67130 is an abundant number, since it is smaller than the sum of its proper divisors (74458).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70794).

67130 is a wasteful number, since it uses less digits than its factorization.

67130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 67130 is about 259.0945773265. The cubic root of 67130 is about 40.6417327521.

The spelling of 67130 in words is "sixty-seven thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 137 245 274 490 685 959 1370 1918 4795 6713 9590 13426 33565 67130