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26400136 = 23723103199
BaseRepresentation
bin110010010110…
…1010110001000
31211200021011211
41210231112020
523224301021
62341502504
7440253220
oct144552610
954607154
1026400136
11139a18a4
128a11a34
1356145a9
143713080
1524b73e1
hex192d588

26400136 has 64 divisors (see below), whose sum is σ = 59904000. Its totient is φ = 10663488.

The previous prime is 26400119. The next prime is 26400161. The reversal of 26400136 is 63100462.

It is a congruent number.

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, 132565 + ... + 132763.

It is an arithmetic number, because the mean of its divisors is an integer number (936000).

Almost surely, 226400136 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 26400136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952000).

26400136 is an abundant number, since it is smaller than the sum of its proper divisors (33503864).

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

26400136 is a wasteful number, since it uses less digits than its factorization.

26400136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 26400136 is about 5138.1062659311. The cubic root of 26400136 is about 297.7616218968.

Adding to 26400136 its reverse (63100462), we get a palindrome (89500598).

The spelling of 26400136 in words is "twenty-six million, four hundred thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 103 161 184 199 206 322 398 412 644 721 796 824 1288 1393 1442 1592 2369 2786 2884 4577 4738 5572 5768 9154 9476 11144 16583 18308 18952 20497 32039 33166 36616 40994 64078 66332 81988 128156 132664 143479 163976 256312 286958 471431 573916 942862 1147832 1885724 3300017 3771448 6600034 13200068 26400136