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26568240 = 2435313571
BaseRepresentation
bin110010101011…
…0011000110000
31211222210202220
41211112120300
523300140430
62345241040
7441553266
oct145263060
954883686
1026568240
1113aa7126
128a93180
135672c6a
143758436
1524ec110
hex1956630

26568240 has 80 divisors (see below), whose sum is σ = 85042176. Its totient is φ = 6854400.

The previous prime is 26568233. The next prime is 26568293. The reversal of 26568240 is 4286562.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5655 + ... + 9225.

Almost surely, 226568240 is an apocalyptic number.

26568240 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 26568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42521088).

26568240 is an abundant number, since it is smaller than the sum of its proper divisors (58473936).

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

26568240 is a wasteful number, since it uses less digits than its factorization.

26568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 26568240 is about 5154.4388637368. The cubic root of 26568240 is about 298.3922884920.

The spelling of 26568240 in words is "twenty-six million, five hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3571 3720 7142 7440 10713 14284 17855 21426 28568 35710 42852 53565 57136 71420 85704 107130 110701 142840 171408 214260 221402 285680 332103 428520 442804 553505 664206 857040 885608 1107010 1328412 1660515 1771216 2214020 2656824 3321030 4428040 5313648 6642060 8856080 13284120 26568240