Search a number
-
+
26507040 = 25357423
BaseRepresentation
bin110010100011…
…1011100100000
31211212200211020
41211013130200
523241211130
62344045440
7441210000
oct145073440
954780736
1026507040
1113a6514a
128a63880
135651151
143740000
1524d8e10
hex1947720

26507040 has 240 divisors, whose sum is σ = 101642688. Its totient is φ = 5795328.

The previous prime is 26507027. The next prime is 26507081. The reversal of 26507040 is 4070562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26507040.

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 39 ways as a sum of consecutive naturals, for example, 1152469 + ... + 1152491.

Almost surely, 226507040 is an apocalyptic number.

26507040 is a gapful number since it is divisible by the number (20) 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 26507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50821344).

26507040 is an abundant number, since it is smaller than the sum of its proper divisors (75135648).

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

26507040 is an equidigital number, since it uses as much as digits as its factorization.

26507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 26507040 is about 5148.4988103330. The cubic root of 26507040 is about 298.1629965767.

The spelling of 26507040 in words is "twenty-six million, five hundred seven thousand, forty".