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2137689 = 32232449
BaseRepresentation
bin1000001001111001011001
311000121100200
420021321121
51021401224
6113452413
724112221
oct10117131
94017320
102137689
111230094
12871109
1359b008
143d9081
152c35c9
hex209e59

2137689 has 18 divisors (see below), whose sum is σ = 3235050. Its totient is φ = 1360128.

The previous prime is 2137687. The next prime is 2137697. The reversal of 2137689 is 9867312.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 233289 = 1380^2 + 483^2 .

It is not a de Polignac number, because 2137689 - 21 = 2137687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137687) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4537 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (179725).

22137689 is an apocalyptic number.

It is an amenable number.

2137689 is a deficient number, since it is larger than the sum of its proper divisors (1097361).

2137689 is a wasteful number, since it uses less digits than its factorization.

2137689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2137689 is about 1462.0837869288. The cubic root of 2137689 is about 128.8194698458.

The spelling of 2137689 in words is "two million, one hundred thirty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 23 69 207 449 529 1347 1587 4041 4761 10327 30981 92943 237521 712563 2137689