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2137429 = 72181241
BaseRepresentation
bin1000001001110101010101
311000121000001
420021311111
51021344204
6113451301
724111400
oct10116525
94017001
102137429
11122a978
12870b31
1359ab68
143d8d37
152c34a4
hex209d55

2137429 has 12 divisors (see below), whose sum is σ = 2510508. Its totient is φ = 1814400.

The previous prime is 2137423. The next prime is 2137441. The reversal of 2137429 is 9247312.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 1500625 = 798^2 + 1225^2 .

It is not a de Polignac number, because 2137429 - 25 = 2137397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2137397 and 2137406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8749 + ... + 8989.

It is an arithmetic number, because the mean of its divisors is an integer number (209209).

22137429 is an apocalyptic number.

It is an amenable number.

2137429 is a deficient number, since it is larger than the sum of its proper divisors (373079).

2137429 is a wasteful number, since it uses less digits than its factorization.

2137429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 2137429 is about 1461.9948700320. The cubic root of 2137429 is about 128.8142470063.

The spelling of 2137429 in words is "two million, one hundred thirty-seven thousand, four hundred twenty-nine".

Divisors: 1 7 49 181 241 1267 1687 8869 11809 43621 305347 2137429