Search a number
-
+
26060420 = 2254161521
BaseRepresentation
bin110001101101…
…0011010000100
31211001000011202
41203122122010
523132413140
62330322032
7434336621
oct143323204
954030152
1026060420
111378a641
128889318
135525a89
143665348
15244b915
hex18da684

26060420 has 48 divisors (see below), whose sum is σ = 57090096. Its totient is φ = 9984000.

The previous prime is 26060417. The next prime is 26060453. The reversal of 26060420 is 2406062.

It can be written as a sum of positive squares in 8 ways, for example, as 12503296 + 13557124 = 3536^2 + 3682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 26060392 and 26060401.

It is a congruent number.

It is an unprimeable number.

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, 49760 + ... + 50280.

It is an arithmetic number, because the mean of its divisors is an integer number (1189377).

Almost surely, 226060420 is an apocalyptic number.

26060420 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 26060420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545048).

26060420 is an abundant number, since it is smaller than the sum of its proper divisors (31029676).

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

26060420 is a wasteful number, since it uses less digits than its factorization.

26060420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26060420 is about 5104.9407440244. The cubic root of 26060420 is about 296.4789088147.

Adding to 26060420 its reverse (2406062), we get a palindrome (28466482).

The spelling of 26060420 in words is "twenty-six million, sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 521 610 820 1042 1220 2084 2501 2605 5002 5210 10004 10420 12505 21361 25010 31781 42722 50020 63562 85444 106805 127124 158905 213610 317810 427220 635620 1303021 2606042 5212084 6515105 13030210 26060420