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26490240 = 27345773
BaseRepresentation
bin110010100001…
…1010110000000
31211211211210000
41211003112000
523240141430
62343440000
7441110010
oct145032600
954754700
1026490240
1113a53567
128a56000
1356465ca
143737c40
1524d3e60
hex1943580

26490240 has 320 divisors, whose sum is σ = 109596960. Its totient is φ = 5971968.

The previous prime is 26490209. The next prime is 26490241. The reversal of 26490240 is 4209462.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26490241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362844 + ... + 362916.

Almost surely, 226490240 is an apocalyptic number.

26490240 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 26490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54798480).

26490240 is an abundant number, since it is smaller than the sum of its proper divisors (83106720).

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

26490240 is an equidigital number, since it uses as much as digits as its factorization.

26490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26490240 is about 5146.8670081905. The cubic root of 26490240 is about 298.0999919690.

The spelling of 26490240 in words is "twenty-six million, four hundred ninety thousand, two hundred forty".