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26404020 = 223253832
BaseRepresentation
bin110010010111…
…0010010110100
31211200110111200
41210232102310
523224412040
62341532500
7440300436
oct144562264
954613450
1026404020
11139a4805
128a14130
1356162a6
143714656
1524b8630
hex192e4b4

26404020 has 54 divisors (see below), whose sum is σ = 80301858. Its totient is φ = 7022688.

The previous prime is 26404019. The next prime is 26404039. The reversal of 26404020 is 2040462.

26404020 is a `hidden beast` number, since 2 + 640 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21123216 + 5280804 = 4596^2 + 2298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26403984 and 26404002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68749 + ... + 69131.

Almost surely, 226404020 is an apocalyptic number.

26404020 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 26404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40150929).

26404020 is an abundant number, since it is smaller than the sum of its proper divisors (53897838).

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

26404020 is a wasteful number, since it uses less digits than its factorization.

26404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26404020 is about 5138.4842122945. The cubic root of 26404020 is about 297.7762234558.

Adding to 26404020 its reverse (2040462), we get a palindrome (28444482).

The spelling of 26404020 in words is "twenty-six million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 13788 17235 22980 34470 68940 146689 293378 440067 586756 733445 880134 1320201 1466890 1760268 2200335 2640402 2933780 4400670 5280804 6601005 8801340 13202010 26404020