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13282137 = 35114969
BaseRepresentation
bin110010101010…
…101101011001
3220222210200000
4302222231121
511400012022
61152403213
7220616301
oct62525531
926883600
1013282137
117552080
124546509
1329a076b
141a9a601
1512756ac
hexcaab59

13282137 has 24 divisors (see below), whose sum is σ = 21708960. Its totient is φ = 8048160.

The previous prime is 13282123. The next prime is 13282163. The reversal of 13282137 is 73128231.

It is not a de Polignac number, because 13282137 - 211 = 13280089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13282137.

It is not an unprimeable number, because it can be changed into a prime (13282177) 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 23 ways as a sum of consecutive naturals, for example, 189 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (904540).

Almost surely, 213282137 is an apocalyptic number.

It is an amenable number.

13282137 is a deficient number, since it is larger than the sum of its proper divisors (8426823).

13282137 is an equidigital number, since it uses as much as digits as its factorization.

13282137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4983 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13282137 is about 3644.4666276425. The cubic root of 13282137 is about 236.8223311912.

The spelling of 13282137 in words is "thirteen million, two hundred eighty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 4969 14907 44721 54659 134163 163977 402489 491931 1207467 1475793 4427379 13282137