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2137733 = 13172569
BaseRepresentation
bin1000001001111010000101
311000121102022
420021322011
51021401413
6113452525
724112313
oct10117205
94017368
102137733
111230124
12871145
1359b040
143d90b3
152c3608
hex209e85

2137733 has 12 divisors (see below), whose sum is σ = 2449860. Its totient is φ = 1853952.

The previous prime is 2137727. The next prime is 2137741. The reversal of 2137733 is 3377312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14884 + 2122849 = 122^2 + 1457^2 .

It is not a de Polignac number, because 2137733 - 24 = 2137717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137763) 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, 3473 + ... + 4041.

It is an arithmetic number, because the mean of its divisors is an integer number (204155).

22137733 is an apocalyptic number.

It is an amenable number.

2137733 is a deficient number, since it is larger than the sum of its proper divisors (312127).

2137733 is a wasteful number, since it uses less digits than its factorization.

2137733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its digits is 2646, while the sum is 26.

The square root of 2137733 is about 1462.0988338686. The cubic root of 2137733 is about 128.8203536691.

The spelling of 2137733 in words is "two million, one hundred thirty-seven thousand, seven hundred thirty-three".

Divisors: 1 13 17 221 289 569 3757 7397 9673 125749 164441 2137733