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2672166 = 237261149
BaseRepresentation
bin1010001100011000100110
312000202112010
422030120212
51141002131
6133135050
731466400
oct12143046
95022463
102672166
111565702
12a8a486
13727383
144d7b70
1537bb46
hex28c626

2672166 has 48 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 745920.

The previous prime is 2672143. The next prime is 2672171. The reversal of 2672166 is 6612762.

It is a super-2 number, since 2×26721662 = 14280942263112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17860 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

22672166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2672166 is an abundant number, since it is smaller than the sum of its proper divisors (3689034).

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

2672166 is a wasteful number, since it uses less digits than its factorization.

2672166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2672166 is about 1634.6761147090. The cubic root of 2672166 is about 138.7675150359.

The spelling of 2672166 in words is "two million, six hundred seventy-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 149 183 294 298 366 427 447 854 894 1043 1281 2086 2562 2989 3129 5978 6258 7301 8967 9089 14602 17934 18178 21903 27267 43806 54534 63623 127246 190869 381738 445361 890722 1336083 2672166