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26423820 = 223555437
BaseRepresentation
bin110010011001…
…1001000001100
31211201110200000
41210303020030
523231030240
62342204300
7440412243
oct144631014
954643600
1026423820
1113a08675
128a23690
1356222c7
14371b95a
1524be430
hex193320c

26423820 has 72 divisors (see below), whose sum is σ = 83136144. Its totient is φ = 7045056.

The previous prime is 26423819. The next prime is 26423821. The reversal of 26423820 is 2832462.

It is an interprime number because it is at equal distance from previous prime (26423819) and next prime (26423821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26423821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142 + ... + 7578.

Almost surely, 226423820 is an apocalyptic number.

26423820 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 26423820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41568072).

26423820 is an abundant number, since it is smaller than the sum of its proper divisors (56712324).

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

26423820 is a wasteful number, since it uses less digits than its factorization.

26423820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26423820 is about 5140.4104894454. The cubic root of 26423820 is about 297.8506375800.

The spelling of 26423820 in words is "twenty-six million, four hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 5437 10874 16311 21748 27185 32622 48933 54370 65244 81555 97866 108740 146799 163110 195732 244665 293598 326220 440397 489330 587196 733995 880794 978660 1321191 1467990 1761588 2201985 2642382 2935980 4403970 5284764 6605955 8807940 13211910 26423820