Search a number
-
+
26040168 = 23327211261
BaseRepresentation
bin110001101010…
…1011101101000
31210222222101200
41203111131220
523131241133
62330044200
7434223600
oct143253550
953888350
1026040168
1113776400
128879660
1355197ab
14365bc00
152445913
hex18d5768

26040168 has 216 divisors, whose sum is σ = 91654290. Its totient is φ = 6652800.

The previous prime is 26040109. The next prime is 26040169. The reversal of 26040168 is 86104062.

It can be written as a sum of positive squares in only one way, i.e., 25826724 + 213444 = 5082^2 + 462^2 .

It is not an unprimeable number, because it can be changed into a prime (26040169) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 426858 + ... + 426918.

Almost surely, 226040168 is an apocalyptic number.

26040168 is a gapful number since it is divisible by the number (28) 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 26040168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45827145).

26040168 is an abundant number, since it is smaller than the sum of its proper divisors (65614122).

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

26040168 is a wasteful number, since it uses less digits than its factorization.

26040168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

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

The square root of 26040168 is about 5102.9567899405. The cubic root of 26040168 is about 296.4020892945.

The spelling of 26040168 in words is "twenty-six million, forty thousand, one hundred sixty-eight".