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1294137 = 34131229
BaseRepresentation
bin100111011111100111001
32102202020000
410323330321
5312403022
643423213
713666665
oct4737471
92382200
101294137
11804339
12524b09
13364080
142598a5
151a86ac
hex13bf39

1294137 has 20 divisors (see below), whose sum is σ = 2083620. Its totient is φ = 795744.

The previous prime is 1294129. The next prime is 1294169. The reversal of 1294137 is 7314921.

It can be written as a sum of positive squares in 2 ways, for example, as 826281 + 467856 = 909^2 + 684^2 .

It is not a de Polignac number, because 1294137 - 23 = 1294129 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 1294137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294177) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (104181).

21294137 is an apocalyptic number.

It is an amenable number.

1294137 is a deficient number, since it is larger than the sum of its proper divisors (789483).

1294137 is a wasteful number, since it uses less digits than its factorization.

1294137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1294137 is about 1137.6014240497. The cubic root of 1294137 is about 108.9749683001.

It can be divided in two parts, 1294 and 137, that added together give a triangular number (1431 = T53).

The spelling of 1294137 in words is "one million, two hundred ninety-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1229 3687 11061 15977 33183 47931 99549 143793 431379 1294137