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26341120 = 285131583
BaseRepresentation
bin110010001111…
…0111100000000
31211120021020001
41210132330000
523220403440
62340325344
7436616161
oct144367400
954507201
1026341120
1113961523
1289a3854
1355c3780
1436d9768
1524a4b9a
hex191ef00

26341120 has 72 divisors (see below), whose sum is σ = 67991616. Its totient is φ = 9719808.

The previous prime is 26341099. The next prime is 26341121. The reversal of 26341120 is 2114362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26341121) 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 7 ways as a sum of consecutive naturals, for example, 15849 + ... + 17431.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 226341120 is an apocalyptic number.

26341120 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 26341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995808).

26341120 is an abundant number, since it is smaller than the sum of its proper divisors (41650496).

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

26341120 is a wasteful number, since it uses less digits than its factorization.

26341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 26341120 is about 5132.3600808985. The cubic root of 26341120 is about 297.5395799798.

Adding to 26341120 its reverse (2114362), we get a palindrome (28455482).

The spelling of 26341120 in words is "twenty-six million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1583 1664 2080 3166 3328 4160 6332 7915 8320 12664 15830 16640 20579 25328 31660 41158 50656 63320 82316 101312 102895 126640 164632 202624 205790 253280 329264 405248 411580 506560 658528 823160 1013120 1317056 1646320 2026240 2634112 3292640 5268224 6585280 13170560 26341120