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2117106 = 232117617
BaseRepresentation
bin1000000100110111110010
310222120010100
420010313302
51020221411
6113213230
723665215
oct10046762
93876110
102117106
111216682
12861216
13591834
143d177c
152bc456
hex204df2

2117106 has 12 divisors (see below), whose sum is σ = 4587102. Its totient is φ = 705696.

The previous prime is 2117099. The next prime is 2117119. The reversal of 2117106 is 6017112.

It can be written as a sum of positive squares in only one way, i.e., 2117025 + 81 = 1455^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117617 = 2117106 / (2 + 1 + 1 + 7 + 1 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58791 + ... + 58826.

22117106 is an apocalyptic number.

2117106 is an abundant number, since it is smaller than the sum of its proper divisors (2469996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117106 is a wasteful number, since it uses less digits than its factorization.

2117106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117625 (or 117622 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2117106 is about 1455.0278347853. The cubic root of 2117106 is about 128.4046843721.

The spelling of 2117106 in words is "two million, one hundred seventeen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 117617 235234 352851 705702 1058553 2117106