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2117682 = 23276
BaseRepresentation
bin1000000101000000110010
310222120220200
420011000302
51020231212
6113220030
724000000
oct10050062
93876820
102117682
111217056
12861616
13591b88
143d1a70
152bc6dc
hex205032

2117682 has 42 divisors (see below), whose sum is σ = 5353023. Its totient is φ = 605052.

The previous prime is 2117677. The next prime is 2117699. The reversal of 2117682 is 2867112.

It can be written as a sum of positive squares in only one way, i.e., 1058841 + 1058841 = 1029^2 + 1029^2 .

It is a tau number, because it is divible by the number of its divisors (42).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1029.

Its product of digits (1344) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 302523 + ... + 302529.

22117682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117682

2117682 is an abundant number, since it is smaller than the sum of its proper divisors (3235341).

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

2117682 is an frugal number, since it uses more digits than its factorization.

2117682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2117682 is about 1455.2257556819. The cubic root of 2117682 is about 128.4163283162.

The spelling of 2117682 in words is "two million, one hundred seventeen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2401 3087 4802 6174 7203 14406 16807 21609 33614 43218 50421 100842 117649 151263 235298 302526 352947 705894 1058841 2117682