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12137829 = 3111033571
BaseRepresentation
bin101110010011…
…010101100101
3211211122222020
4232103111211
511101402304
61112053353
7205112154
oct56232545
924748866
1012137829
116940370
124094259
13268c962
14187d59b
1510eb5d9
hexb93565

12137829 has 16 divisors (see below), whose sum is σ = 17831424. Its totient is φ = 7282800.

The previous prime is 12137821. The next prime is 12137831. The reversal of 12137829 is 92873121.

It is not a de Polignac number, because 12137829 - 23 = 12137821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 12137829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137821) 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, 1614 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (1114464).

Almost surely, 212137829 is an apocalyptic number.

It is an amenable number.

12137829 is a deficient number, since it is larger than the sum of its proper divisors (5693595).

12137829 is a wasteful number, since it uses less digits than its factorization.

12137829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688.

The product of its digits is 6048, while the sum is 33.

The square root of 12137829 is about 3483.9387193233. The cubic root of 12137829 is about 229.8160406800.

It can be divided in two parts, 121 and 37829, that added together give a triangular number (37950 = T275).

The spelling of 12137829 in words is "twelve million, one hundred thirty-seven thousand, eight hundred twenty-nine".

Divisors: 1 3 11 33 103 309 1133 3399 3571 10713 39281 117843 367813 1103439 4045943 12137829