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26366116 = 22721741193
BaseRepresentation
bin110010010010…
…1000010100100
31211121112111211
41210211002210
523222203431
62341041204
7440052100
oct144450244
954545454
1026366116
1113979287
1289b6204
135601c6a
143704900
1524ac2b1
hex19250a4

26366116 has 72 divisors (see below), whose sum is σ = 58518936. Its totient is φ = 10321920.

The previous prime is 26366077. The next prime is 26366117. The reversal of 26366116 is 61166362.

26366116 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 25969216 = 630^2 + 5096^2 .

26366116 is an undulating number in base 9.

It is not an unprimeable number, because it can be changed into a prime (26366117) 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, 136516 + ... + 136708.

It is an arithmetic number, because the mean of its divisors is an integer number (812763).

Almost surely, 226366116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26366116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29259468).

26366116 is an abundant number, since it is smaller than the sum of its proper divisors (32152820).

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

26366116 is a wasteful number, since it uses less digits than its factorization.

26366116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 26366116 is about 5134.7946404895. The cubic root of 26366116 is about 297.6336654259.

The spelling of 26366116 in words is "twenty-six million, three hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 164 193 196 238 287 386 476 574 697 772 833 1148 1351 1394 1666 2009 2702 2788 3281 3332 4018 4879 5404 6562 7913 8036 9457 9758 13124 15826 18914 19516 22967 31652 34153 37828 45934 55391 68306 91868 110782 134521 136612 160769 221564 269042 321538 387737 538084 643076 775474 941647 1550948 1883294 3766588 6591529 13183058 26366116