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26947116 = 22327611753
BaseRepresentation
bin110011011001…
…0111000101100
31212201001111100
41212302320230
523344301431
62401323100
7445022010
oct146627054
955631440
1026947116
1114235849
129036490
135776551
143816540
1525744e6
hex19b2e2c

26947116 has 72 divisors (see below), whose sum is σ = 79168544. Its totient is φ = 7568640.

The previous prime is 26947069. The next prime is 26947139. The reversal of 26947116 is 61174962.

It is a super-2 number, since 2×269471162 = 1452294121434912, 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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14496 + ... + 16248.

Almost surely, 226947116 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 26947116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584272).

26947116 is an abundant number, since it is smaller than the sum of its proper divisors (52221428).

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

26947116 is a wasteful number, since it uses less digits than its factorization.

26947116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1826 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 26947116 is about 5191.0611631920. The cubic root of 26947116 is about 299.8040053148.

The spelling of 26947116 in words is "twenty-six million, nine hundred forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 1753 2196 2562 3506 3843 5124 5259 7012 7686 10518 12271 15372 15777 21036 24542 31554 36813 49084 63108 73626 106933 110439 147252 213866 220878 320799 427732 441756 641598 748531 962397 1283196 1497062 1924794 2245593 2994124 3849588 4491186 6736779 8982372 13473558 26947116