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131264744 = 23132335417
BaseRepresentation
bin1111101001011…
…11000011101000
3100010222221101012
413310233003220
5232100432434
621005243052
73152506022
oct764570350
9303887335
10131264744
1168106166
1237b63488
132126c360
141360d012
15b7cd3ce
hex7d2f0e8

131264744 has 32 divisors (see below), whose sum is σ = 266240520. Its totient is φ = 60312576.

The previous prime is 131264743. The next prime is 131264773. The reversal of 131264744 is 447462131.

131264744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38912644 + 92352100 = 6238^2 + 9610^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131264744.

It is not an unprimeable number, because it can be changed into a prime (131264743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21524 + ... + 26940.

Almost surely, 2131264744 is an apocalyptic number.

It is an amenable number.

131264744 is an abundant number, since it is smaller than the sum of its proper divisors (134975776).

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

131264744 is a wasteful number, since it uses less digits than its factorization.

131264744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5665 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 131264744 is about 11457.0827002339. The cubic root of 131264744 is about 508.2172072160.

The spelling of 131264744 in words is "one hundred thirty-one million, two hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 233 466 932 1864 3029 5417 6058 10834 12116 21668 24232 43336 70421 140842 281684 563368 1262161 2524322 5048644 10097288 16408093 32816186 65632372 131264744