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26768131 = 13192937101
BaseRepresentation
bin110011000011…
…1001100000011
31212100221222021
41212013030003
523323040011
62353422311
7443345125
oct146071403
955327867
1026768131
1114123325
128b6a997
135712c40
1437ab215
15253b471
hex1987303

26768131 has 32 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 21772800.

The previous prime is 26768107. The next prime is 26768141. The reversal of 26768131 is 13186762.

It is a cyclic number.

It is not a de Polignac number, because 26768131 - 25 = 26768099 is a prime.

It is a super-2 number, since 2×267681312 = 1433065674466322, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (26768101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264981 + ... + 265081.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 226768131 is an apocalyptic number.

26768131 is a deficient number, since it is larger than the sum of its proper divisors (5790269).

26768131 is a wasteful number, since it uses less digits than its factorization.

26768131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 12096, while the sum is 34.

The square root of 26768131 is about 5173.7927094154. The cubic root of 26768131 is about 299.1387558201.

The spelling of 26768131 in words is "twenty-six million, seven hundred sixty-eight thousand, one hundred thirty-one".

Divisors: 1 13 19 29 37 101 247 377 481 551 703 1073 1313 1919 2929 3737 7163 9139 13949 20387 24947 38077 48581 55651 71003 108373 265031 723463 923039 1408849 2059087 26768131