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26904240 = 24325114379
BaseRepresentation
bin110011010100…
…0011010110000
31212121212200100
41212220122300
523341413430
62400352400
7444453006
oct146503260
955555610
1026904240
1114206610
129015700
13575cb8c
143804a76
152566960
hex19a86b0

26904240 has 240 divisors, whose sum is σ = 102136320. Its totient is φ = 6289920.

The previous prime is 26904239. The next prime is 26904259. The reversal of 26904240 is 4240962.

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

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 47 ways as a sum of consecutive naturals, for example, 340521 + ... + 340599.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 226904240 is an apocalyptic number.

26904240 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 26904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

26904240 is an abundant number, since it is smaller than the sum of its proper divisors (75232080).

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

26904240 is a wasteful number, since it uses less digits than its factorization.

26904240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

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

The square root of 26904240 is about 5186.9297276906. The cubic root of 26904240 is about 299.6449132104.

Subtracting from 26904240 its reverse (4240962), we obtain a triangular number (22663278 = T6732).

The spelling of 26904240 in words is "twenty-six million, nine hundred four thousand, two hundred forty".