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2117094 = 237219379
BaseRepresentation
bin1000000100110111100110
310222120002220
420010313212
51020221334
6113213210
723665200
oct10046746
93876086
102117094
111216671
12861206
13591825
143d1770
152bc449
hex204de6

2117094 has 48 divisors (see below), whose sum is σ = 5198400. Its totient is φ = 571536.

The previous prime is 2117077. The next prime is 2117099. The reversal of 2117094 is 4907112.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5397 + ... + 5775.

It is an arithmetic number, because the mean of its divisors is an integer number (108300).

22117094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599200).

2117094 is an abundant number, since it is smaller than the sum of its proper divisors (3081306).

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

2117094 is a wasteful number, since it uses less digits than its factorization.

2117094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2117094 is about 1455.0237111470. The cubic root of 2117094 is about 128.4044417675.

The spelling of 2117094 in words is "two million, one hundred seventeen thousand, ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 379 399 758 798 931 1137 1862 2274 2653 2793 5306 5586 7201 7959 14402 15918 18571 21603 37142 43206 50407 55713 100814 111426 151221 302442 352849 705698 1058547 2117094