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2137629 = 31359929
BaseRepresentation
bin1000001001111000011101
311000121021110
420021320131
51021401004
6113452233
724112104
oct10117035
94017243
102137629
11123003a
12871079
1359ac90
143d903b
152c3589
hex209e1d

2137629 has 16 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 1291776.

The previous prime is 2137627. The next prime is 2137637. The reversal of 2137629 is 9267312.

It is not a de Polignac number, because 2137629 - 21 = 2137627 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2137596 and 2137605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

22137629 is an apocalyptic number.

It is an amenable number.

2137629 is a deficient number, since it is larger than the sum of its proper divisors (987171).

2137629 is a wasteful number, since it uses less digits than its factorization.

2137629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004.

The product of its digits is 4536, while the sum is 30.

The square root of 2137629 is about 1462.0632681249. The cubic root of 2137629 is about 128.8182646128.

The spelling of 2137629 in words is "two million, one hundred thirty-seven thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 59 177 767 929 2301 2787 12077 36231 54811 164433 712543 2137629