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131514405 = 3511797057
BaseRepresentation
bin1111101011011…
…00000000100101
3100011110121211220
413311230000211
5232131430110
621014450553
73154565631
oct765540045
9304417756
10131514405
11682667a0
1238063a59
1321328b99
1413675dc1
15b82c370
hex7d6c025

131514405 has 16 divisors (see below), whose sum is σ = 229552704. Its totient is φ = 63764480.

The previous prime is 131514389. The next prime is 131514407. The reversal of 131514405 is 504415131.

It is a happy number.

It is not a de Polignac number, because 131514405 - 24 = 131514389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131514407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398364 + ... + 398693.

It is an arithmetic number, because the mean of its divisors is an integer number (14347044).

Almost surely, 2131514405 is an apocalyptic number.

131514405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131514405 is a deficient number, since it is larger than the sum of its proper divisors (98038299).

131514405 is a wasteful number, since it uses less digits than its factorization.

131514405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797076.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 131514405 is about 11467.9730118273. The cubic root of 131514405 is about 508.5392070043.

Adding to 131514405 its reverse (504415131), we get a palindrome (635929536).

The spelling of 131514405 in words is "one hundred thirty-one million, five hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 797057 2391171 3985285 8767627 11955855 26302881 43838135 131514405