Search a number
-
+
130612326 = 23132177577
BaseRepresentation
bin1111100100011…
…11110001100110
3100002202210102120
413302033301212
5231414043301
620543250410
73144120645
oct762176146
9302683376
10130612326
11677aaa79
12378a9a06
13210a1400
14134bd35c
15b6eee36
hex7c8fc66

130612326 has 48 divisors (see below), whose sum is σ = 299543184. Its totient is φ = 37819392.

The previous prime is 130612301. The next prime is 130612373. The reversal of 130612326 is 623216031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130612296 and 130612305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13450 + ... + 21026.

It is an arithmetic number, because the mean of its divisors is an integer number (6240483).

Almost surely, 2130612326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130612326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149771592).

130612326 is an abundant number, since it is smaller than the sum of its proper divisors (168930858).

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

130612326 is a wasteful number, since it uses less digits than its factorization.

130612326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130612326 is about 11428.5749767852. The cubic root of 130612326 is about 507.3738202973.

Adding to 130612326 its reverse (623216031), we get a palindrome (753828357).

The spelling of 130612326 in words is "one hundred thirty million, six hundred twelve thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 7577 8619 15154 17238 22731 45462 98501 128809 197002 257618 295503 386427 591006 772854 1280513 1674517 2561026 3349034 3841539 5023551 7683078 10047102 21768721 43537442 65306163 130612326