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131424352 = 2541109919
BaseRepresentation
bin1111101010101…
…10000001100000
3100011022001022121
413311112001200
5232121034402
621012514024
73154042243
oct765260140
9304261277
10131424352
1168205074
123801b914
13212c6bb7
141365125a
15b810837
hex7d56060

131424352 has 48 divisors (see below), whose sum is σ = 267775200. Its totient is φ = 63452160.

The previous prime is 131424347. The next prime is 131424389. The reversal of 131424352 is 253424131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142549 + ... + 143467.

It is an arithmetic number, because the mean of its divisors is an integer number (5578650).

Almost surely, 2131424352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133887600).

131424352 is an abundant number, since it is smaller than the sum of its proper divisors (136350848).

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

131424352 is a wasteful number, since it uses less digits than its factorization.

131424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 131424352 is about 11464.0460571301. The cubic root of 131424352 is about 508.4231083462.

Adding to 131424352 its reverse (253424131), we get a palindrome (384848483).

The spelling of 131424352 in words is "one hundred thirty-one million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 109 164 218 328 436 656 872 919 1312 1744 1838 3488 3676 4469 7352 8938 14704 17876 29408 35752 37679 71504 75358 100171 143008 150716 200342 301432 400684 602864 801368 1205728 1602736 3205472 4107011 8214022 16428044 32856088 65712176 131424352