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26264040 = 233511101197
BaseRepresentation
bin110010000110…
…0000111101000
31211102100111020
41210030013220
523210422130
62334532440
7436145355
oct144140750
954370436
1026264040
1113909620
128967120
13559766a
1436b962c
15248be10
hex190c1e8

26264040 has 128 divisors (see below), whose sum is σ = 87246720. Its totient is φ = 6272000.

The previous prime is 26264039. The next prime is 26264041. The reversal of 26264040 is 4046262.

It is an interprime number because it is at equal distance from previous prime (26264039) and next prime (26264041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26264040.

It is not an unprimeable number, because it can be changed into a prime (26264041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133222 + ... + 133418.

It is an arithmetic number, because the mean of its divisors is an integer number (681615).

Almost surely, 226264040 is an apocalyptic number.

26264040 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 26264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43623360).

26264040 is an abundant number, since it is smaller than the sum of its proper divisors (60982680).

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

26264040 is a wasteful number, since it uses less digits than its factorization.

26264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26264040 is about 5124.8453635207. The cubic root of 26264040 is about 297.2490740129.

It can be divided in two parts, 2626 and 4040, that added together give a palindrome (6666).

The spelling of 26264040 in words is "twenty-six million, two hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 197 202 220 264 303 330 394 404 440 505 591 606 660 788 808 985 1010 1111 1182 1212 1320 1515 1576 1970 2020 2167 2222 2364 2424 2955 3030 3333 3940 4040 4334 4444 4728 5555 5910 6060 6501 6666 7880 8668 8888 10835 11110 11820 12120 13002 13332 16665 17336 19897 21670 22220 23640 26004 26664 32505 33330 39794 43340 44440 52008 59691 65010 66660 79588 86680 99485 119382 130020 133320 159176 198970 218867 238764 260040 298455 397940 437734 477528 596910 656601 795880 875468 1094335 1193820 1313202 1750936 2188670 2387640 2626404 3283005 4377340 5252808 6566010 8754680 13132020 26264040