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26097940 = 22511313379
BaseRepresentation
bin110001110001…
…1100100010100
31211002220122101
41203203210110
523140113230
62331211444
7434554201
oct143434424
954086571
1026097940
1113805850
1288a6b84
135539b8b
143674ca8
152457aca
hex18e3914

26097940 has 48 divisors (see below), whose sum is σ = 60137280. Its totient is φ = 9434880.

The previous prime is 26097937. The next prime is 26097943. The reversal of 26097940 is 4979062.

It is an interprime number because it is at equal distance from previous prime (26097937) and next prime (26097943).

It is a super-2 number, since 2×260979402 = 1362204944487200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26097940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26097943) 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 15 ways as a sum of consecutive naturals, for example, 68671 + ... + 69049.

It is an arithmetic number, because the mean of its divisors is an integer number (1252860).

Almost surely, 226097940 is an apocalyptic number.

26097940 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 26097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30068640).

26097940 is an abundant number, since it is smaller than the sum of its proper divisors (34039340).

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

26097940 is a wasteful number, since it uses less digits than its factorization.

26097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 26097940 is about 5108.6142935242. The cubic root of 26097940 is about 296.6211238986.

The spelling of 26097940 in words is "twenty-six million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 379 626 758 1252 1516 1565 1895 3130 3443 3790 4169 6260 6886 7580 8338 13772 16676 17215 20845 34430 41690 68860 83380 118627 237254 474508 593135 1186270 1304897 2372540 2609794 5219588 6524485 13048970 26097940