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2117029 = 29371973
BaseRepresentation
bin1000000100110110100101
310222120000111
420010312211
51020221104
6113213021
723665045
oct10046645
93876014
102117029
111216612
12861171
135917a5
143d1725
152bc404
hex204da5

2117029 has 8 divisors (see below), whose sum is σ = 2250360. Its totient is φ = 1987776.

The previous prime is 2116997. The next prime is 2117039. The reversal of 2117029 is 9207112.

It can be written as a sum of positive squares in 4 ways, for example, as 452929 + 1664100 = 673^2 + 1290^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2117029 - 25 = 2116997 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 (2117039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 2059.

It is an arithmetic number, because the mean of its divisors is an integer number (281295).

22117029 is an apocalyptic number.

2117029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2117029 is a deficient number, since it is larger than the sum of its proper divisors (133331).

2117029 is a wasteful number, since it uses less digits than its factorization.

2117029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2117029 is about 1455.0013745698. The cubic root of 2117029 is about 128.4031276432.

The spelling of 2117029 in words is "two million, one hundred seventeen thousand, twenty-nine".

Divisors: 1 29 37 1073 1973 57217 73001 2117029