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26541340 = 225735373
BaseRepresentation
bin110010100111…
…1110100011100
31211221102212121
41211033310130
523243310330
62344512324
7441412000
oct145176434
954842777
1026541340
1113a889a1
128a7b6a4
135663947
14374c700
1524e417a
hex194fd1c

26541340 has 96 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 8805888.

The previous prime is 26541331. The next prime is 26541341. The reversal of 26541340 is 4314562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26541341) 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, 363544 + ... + 363616.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 226541340 is an apocalyptic number.

26541340 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 26541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

26541340 is an abundant number, since it is smaller than the sum of its proper divisors (40591460).

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

26541340 is a wasteful number, since it uses less digits than its factorization.

26541340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 26541340 is about 5151.8288015034. The cubic root of 26541340 is about 298.2915483717.

The spelling of 26541340 in words is "twenty-six million, five hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 73 98 106 140 146 196 212 245 265 292 343 365 371 490 511 530 686 730 742 980 1022 1060 1372 1460 1484 1715 1855 2044 2555 2597 3430 3577 3710 3869 5110 5194 6860 7154 7420 7738 10220 10388 12985 14308 15476 17885 18179 19345 25039 25970 27083 35770 36358 38690 50078 51940 54166 71540 72716 77380 90895 100156 108332 125195 135415 181790 189581 250390 270830 363580 379162 500780 541660 758324 947905 1327067 1895810 2654134 3791620 5308268 6635335 13270670 26541340