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26453020 = 22511217643
BaseRepresentation
bin110010011101…
…0010000011100
31211202221201111
41210322100130
523232444040
62342551404
7440563336
oct144722034
954687644
1026453020
1113a28600
128a38564
135632699
143728456
1524c7dea
hex193a41c

26453020 has 72 divisors (see below), whose sum is σ = 64752912. Its totient is φ = 9039360.

The previous prime is 26452999. The next prime is 26453023. The reversal of 26453020 is 2035462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 26452982 and 26453000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26453023) 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 23 ways as a sum of consecutive naturals, for example, 40819 + ... + 41461.

It is an arithmetic number, because the mean of its divisors is an integer number (899346).

Almost surely, 226453020 is an apocalyptic number.

26453020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26453020 is the 2572-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26453020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376456).

26453020 is an abundant number, since it is smaller than the sum of its proper divisors (38299892).

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

26453020 is a wasteful number, since it uses less digits than its factorization.

26453020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 26453020 is about 5143.2499453167. The cubic root of 26453020 is about 297.9603118173.

Adding to 26453020 its reverse (2035462), we get a palindrome (28488482).

It can be divided in two parts, 2645 and 3020, that added together give a palindrome (5665).

The spelling of 26453020 in words is "twenty-six million, four hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 643 748 935 1210 1286 1870 2057 2420 2572 3215 3740 4114 6430 7073 8228 10285 10931 12860 14146 20570 21862 28292 35365 41140 43724 54655 70730 77803 109310 120241 141460 155606 218620 240482 311212 389015 480964 601205 778030 1202410 1322651 1556060 2404820 2645302 5290604 6613255 13226510 26453020