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2666196 = 223513211
BaseRepresentation
bin1010001010111011010100
312000110100000
422022323110
51140304241
6133051300
731443111
oct12127324
95013300
102666196
111561175
12a86b30
13724740
144d5908
15379eb6
hex28aed4

2666196 has 72 divisors (see below), whose sum is σ = 7562464. Its totient is φ = 816480.

The previous prime is 2666177. The next prime is 2666197. The reversal of 2666196 is 6916662.

It is a happy number.

2666196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26661962 = 14217202220832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (23328) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 2666196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12531 + ... + 12741.

22666196 is an apocalyptic number.

2666196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781232).

2666196 is an abundant number, since it is smaller than the sum of its proper divisors (4896268).

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

2666196 is a wasteful number, since it uses less digits than its factorization.

2666196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2666196 is about 1632.8490438494. The cubic root of 2666196 is about 138.6640958391.

The spelling of 2666196 in words is "two million, six hundred sixty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 211 234 243 324 351 422 468 486 633 702 844 972 1053 1266 1404 1899 2106 2532 2743 3159 3798 4212 5486 5697 6318 7596 8229 10972 11394 12636 16458 17091 22788 24687 32916 34182 49374 51273 68364 74061 98748 102546 148122 205092 222183 296244 444366 666549 888732 1333098 2666196