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131424246 = 232173111381
BaseRepresentation
bin1111101010101…
…01111111110110
3100011022001011200
413311111333312
5232121033441
621012513330
73154042032
oct765257766
9304261150
10131424246
1168204a88
123801b846
13212c6b35
14136511c2
15b8107b6
hex7d55ff6

131424246 has 48 divisors (see below), whose sum is σ = 302691168. Its totient is φ = 41068800.

The previous prime is 131424217. The next prime is 131424247. The reversal of 131424246 is 642424131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131424247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94476 + ... + 95856.

It is an arithmetic number, because the mean of its divisors is an integer number (6306066).

Almost surely, 2131424246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151345584).

131424246 is an abundant number, since it is smaller than the sum of its proper divisors (171266922).

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

131424246 is a wasteful number, since it uses less digits than its factorization.

131424246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1714 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 131424246 is about 11464.0414339796. The cubic root of 131424246 is about 508.4229716570.

Adding to 131424246 its reverse (642424131), we get a palindrome (773848377).

The spelling of 131424246 in words is "one hundred thirty-one million, four hundred twenty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 311 622 933 1381 1866 2762 2799 4143 5287 5598 8286 10574 12429 15861 23477 24858 31722 46954 47583 70431 95166 140862 211293 422586 429491 858982 1288473 2576946 3865419 7301347 7730838 14602694 21904041 43808082 65712123 131424246