Search a number
-
+
131622426 = 232135310613
BaseRepresentation
bin1111101100001…
…10011000011010
3100011200010000200
413312012120122
5232143404201
621021043030
73155525565
oct766063032
9304603020
10131622426
116832a971
12380b6476
13213660c0
14136a34dc
15b84e386
hex7d8661a

131622426 has 48 divisors (see below), whose sum is σ = 312943176. Its totient is φ = 39731328.

The previous prime is 131622409. The next prime is 131622437. The reversal of 131622426 is 624226131.

131622426 is a `hidden beast` number, since 1 + 31 + 622 + 4 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130302225 + 1320201 = 11415^2 + 1149^2 .

It is a super-2 number, since 2×1316224262 = 34648926052250952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131622426.

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, 7096 + ... + 17708.

Almost surely, 2131622426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131622426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156471588).

131622426 is an abundant number, since it is smaller than the sum of its proper divisors (181320750).

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

131622426 is a wasteful number, since it uses less digits than its factorization.

131622426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10684 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 131622426 is about 11472.6817266060. The cubic root of 131622426 is about 508.6784005793.

Adding to 131622426 its reverse (624226131), we get a palindrome (755848557).

The spelling of 131622426 in words is "one hundred thirty-one million, six hundred twenty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 10613 12402 21226 31839 63678 95517 137969 191034 275938 413907 562489 827814 1124978 1241721 1687467 2483442 3374934 5062401 7312357 10124802 14624714 21937071 43874142 65811213 131622426