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26340100 = 2252263401
BaseRepresentation
bin110010001111…
…0101100000100
31211120012211021
41210132230010
523220340400
62340320524
7436613203
oct144365404
954505737
1026340100
1113960786
1289a3144
1355c3177
1436d923a
1524a471a
hex191eb04

26340100 has 18 divisors (see below), whose sum is σ = 57158234. Its totient is φ = 10536000.

The previous prime is 26340043. The next prime is 26340107. The reversal of 26340100 is 104362.

It can be written as a sum of positive squares in 3 ways, for example, as 4137156 + 22202944 = 2034^2 + 4712^2 .

It is not an unprimeable number, because it can be changed into a prime (26340107) 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 5 ways as a sum of consecutive naturals, for example, 131601 + ... + 131800.

Almost surely, 226340100 is an apocalyptic number.

26340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26340100 is an abundant number, since it is smaller than the sum of its proper divisors (30818134).

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

26340100 is a wasteful number, since it uses less digits than its factorization.

26340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263415 (or 263408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26340100 is about 5132.2607104472. The cubic root of 26340100 is about 297.5357394156.

Adding to 26340100 its reverse (104362), we get a palindrome (26444462).

The spelling of 26340100 in words is "twenty-six million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 263401 526802 1053604 1317005 2634010 5268020 6585025 13170050 26340100