Search a number
-
+
26806104 = 23321322203
BaseRepresentation
bin110011001000…
…0011101011000
31212102220001200
41212100131120
523330243404
62354314200
7443563623
oct146203530
955386050
1026806104
1114149906
128b88960
135727300
1437badba
152547839
hex1990758

26806104 has 72 divisors (see below), whose sum is σ = 78649740. Its totient is φ = 8244288.

The previous prime is 26806099. The next prime is 26806133. The reversal of 26806104 is 40160862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11067 + ... + 13269.

Almost surely, 226806104 is an apocalyptic number.

26806104 is a gapful number since it is divisible by the number (24) 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 26806104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39324870).

26806104 is an abundant number, since it is smaller than the sum of its proper divisors (51843636).

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

26806104 is a wasteful number, since it uses less digits than its factorization.

26806104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26806104 is about 5177.4611538861. The cubic root of 26806104 is about 299.2801407237.

Adding to 26806104 its reverse (40160862), we get a palindrome (66966966).

The spelling of 26806104 in words is "twenty-six million, eight hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 2203 3042 4056 4406 6084 6609 8812 12168 13218 17624 19827 26436 28639 39654 52872 57278 79308 85917 114556 158616 171834 229112 257751 343668 372307 515502 687336 744614 1031004 1116921 1489228 2062008 2233842 2978456 3350763 4467684 6701526 8935368 13403052 26806104