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26122068 = 22337109317
BaseRepresentation
bin110001110100…
…1011101010100
31211011010202000
41203221131110
523141401233
62331515300
7435014430
oct143513524
954133660
1026122068
1113821995
1288b8b30
135547b5b
14367d9c0
15245ed13
hex18e9754

26122068 has 96 divisors (see below), whose sum is σ = 78355200. Its totient is φ = 7371648.

The previous prime is 26122051. The next prime is 26122079. The reversal of 26122068 is 86022162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82246 + ... + 82562.

It is an arithmetic number, because the mean of its divisors is an integer number (816200).

Almost surely, 226122068 is an apocalyptic number.

26122068 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 26122068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39177600).

26122068 is an abundant number, since it is smaller than the sum of its proper divisors (52233132).

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

26122068 is a wasteful number, since it uses less digits than its factorization.

26122068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26122068 is about 5110.9752494020. The cubic root of 26122068 is about 296.7125062077.

The spelling of 26122068 in words is "twenty-six million, one hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 317 327 378 436 634 654 756 763 951 981 1268 1308 1526 1902 1962 2219 2289 2853 2943 3052 3804 3924 4438 4578 5706 5886 6657 6867 8559 8876 9156 11412 11772 13314 13734 17118 19971 20601 26628 27468 34236 34553 39942 41202 59913 69106 79884 82404 103659 119826 138212 207318 239652 241871 310977 414636 483742 621954 725613 932931 967484 1243908 1451226 1865862 2176839 2902452 3731724 4353678 6530517 8707356 13061034 26122068