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26130769 = 73293771
BaseRepresentation
bin110001110101…
…1100101010001
31211011120200021
41203223211101
523142141034
62332023441
7435052000
oct143534521
954146607
1026130769
1113828485
128901b81
13554bac2
143682c37
1524626b4
hex18eb951

26130769 has 32 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 20744640.

The previous prime is 26130763. The next prime is 26130781. The reversal of 26130769 is 96703162.

It is not a de Polignac number, because 26130769 - 29 = 26130257 is a prime.

It is a super-2 number, since 2×261307692 = 1365634177062722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26130763) 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 31 ways as a sum of consecutive naturals, for example, 368004 + ... + 368074.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 226130769 is an apocalyptic number.

26130769 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

26130769 is a deficient number, since it is larger than the sum of its proper divisors (6701231).

26130769 is an equidigital number, since it uses as much as digits as its factorization.

26130769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 26130769 is about 5111.8263859407. The cubic root of 26130769 is about 296.7454465416.

The spelling of 26130769 in words is "twenty-six million, one hundred thirty thousand, seven hundred sixty-nine".

Divisors: 1 7 29 37 49 71 203 259 343 497 1073 1421 1813 2059 2627 3479 7511 9947 12691 14413 18389 24353 52577 76183 100891 128723 368039 533281 706237 901061 3732967 26130769