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26122668 = 223111321171
BaseRepresentation
bin110001110100…
…1100110101100
31211011011120020
41203221212230
523141411133
62331522140
7435016245
oct143514654
954134506
1026122668
1113822390
1288b9350
135548200
14367dccc
1524600b3
hex18e99ac

26122668 has 72 divisors (see below), whose sum is σ = 72063936. Its totient is φ = 7300800.

The previous prime is 26122661. The next prime is 26122669. The reversal of 26122668 is 86622162.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (26122661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21723 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (1000888).

Almost surely, 226122668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26122668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36031968).

26122668 is an abundant number, since it is smaller than the sum of its proper divisors (45941268).

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

26122668 is a wasteful number, since it uses less digits than its factorization.

26122668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 26122668 is about 5111.0339462774. The cubic root of 26122668 is about 296.7147779286.

The spelling of 26122668 in words is "twenty-six million, one hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1171 1716 1859 2028 2342 3513 3718 4684 5577 7026 7436 11154 12881 14052 15223 22308 25762 30446 38643 45669 51524 60892 77286 91338 154572 167453 182676 197899 334906 395798 502359 593697 669812 791596 1004718 1187394 2009436 2176889 2374788 4353778 6530667 8707556 13061334 26122668