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26330000 = 24542633
BaseRepresentation
bin110010001110…
…0001110010000
31211112200222012
41210130032100
523220030000
62340202052
7436541564
oct144341620
954480865
1026330000
1113954134
128999328
1355bb6a8
1436d56a4
1524a1735
hex191c390

26330000 has 50 divisors (see below), whose sum is σ = 63771774. Its totient is φ = 10528000.

The previous prime is 26329969. The next prime is 26330033. The reversal of 26330000 is 3362.

It can be written as a sum of positive squares in 5 ways, for example, as 15147664 + 11182336 = 3892^2 + 3344^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8684 + ... + 11316.

Almost surely, 226330000 is an apocalyptic number.

26330000 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 26330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31885887).

26330000 is an abundant number, since it is smaller than the sum of its proper divisors (37441774).

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

26330000 is an equidigital number, since it uses as much as digits as its factorization.

26330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 26330000 is about 5131.2766442670. The cubic root of 26330000 is about 297.4977049466.

Adding to 26330000 its reverse (3362), we get a palindrome (26333362).

The spelling of 26330000 in words is "twenty-six million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2633 5000 5266 10000 10532 13165 21064 26330 42128 52660 65825 105320 131650 210640 263300 329125 526600 658250 1053200 1316500 1645625 2633000 3291250 5266000 6582500 13165000 26330000