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26246080 = 265711717
BaseRepresentation
bin110010000011…
…1101111000000
31211101102212001
41210013233000
523204333310
62334313344
7436042120
oct144075700
954342761
1026246080
11138a7083
128958854
13558c433
1436b2c80
15248693a
hex1907bc0

26246080 has 56 divisors (see below), whose sum is σ = 71432928. Its totient is φ = 8997888.

The previous prime is 26246071. The next prime is 26246083. The reversal of 26246080 is 8064262.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26246083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3619 + ... + 8098.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 226246080 is an apocalyptic number.

26246080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26246080 is an abundant number, since it is smaller than the sum of its proper divisors (45186848).

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

26246080 is a wasteful number, since it uses less digits than its factorization.

26246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 26246080 is about 5123.0928158682. The cubic root of 26246080 is about 297.1813031404.

The spelling of 26246080 in words is "twenty-six million, two hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 11717 23434 46868 58585 82019 93736 117170 164038 187472 234340 328076 374944 410095 468680 656152 749888 820190 937360 1312304 1640380 1874720 2624608 3280760 3749440 5249216 6561520 13123040 26246080