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26128368 = 243273232
BaseRepresentation
bin110001110101…
…0111111110000
31211011110101100
41203222333300
523142101433
62332004400
7435042000
oct143527760
954143340
1026128368
11138266a2
128900700
13554a996
143682000
152461b13
hex18eaff0

26128368 has 180 divisors, whose sum is σ = 89143600. Its totient is φ = 7140672.

The previous prime is 26128367. The next prime is 26128393. The reversal of 26128368 is 86382162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26128368 is a `hidden beast` number, since 2 + 612 + 8 + 36 + 8 = 666.

It is a super-2 number, since 2×261283682 = 1365383228686848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26128367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136005 + ... + 1136027.

Almost surely, 226128368 is an apocalyptic number.

26128368 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 26128368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44571800).

26128368 is an abundant number, since it is smaller than the sum of its proper divisors (63015232).

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

26128368 is a wasteful number, since it uses less digits than its factorization.

26128368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26128368 is about 5111.5915329768. The cubic root of 26128368 is about 296.7363575421.

The spelling of 26128368 in words is "twenty-six million, one hundred twenty-eight thousand, three hundred sixty-eight".