Search a number
-
+
130626 = 2334159
BaseRepresentation
bin11111111001000010
320122012000
4133321002
513140001
62444430
71052556
oct377102
9218160
10130626
118a161
1263716
13475c2
1435866
1528a86
hex1fe42

130626 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 41760.

The previous prime is 130621. The next prime is 130631. The reversal of 130626 is 626031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130621) and next prime (130631).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130599 and 130608.

It is not an unprimeable number, because it can be changed into a prime (130621) by changing a digit.

130626 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2130626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

130626 is an abundant number, since it is smaller than the sum of its proper divisors (171774).

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

130626 is a wasteful number, since it uses less digits than its factorization.

130626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130626 is about 361.4221907963. The cubic root of 130626 is about 50.7391525588.

Adding to 130626 its reverse (626031), we get a palindrome (756657).

The spelling of 130626 in words is "one hundred thirty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 177 246 354 369 531 738 1062 1107 1593 2214 2419 3186 4838 7257 14514 21771 43542 65313 130626