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26242020 = 22325759353
BaseRepresentation
bin110010000011…
…0101111100100
31211101020021200
41210012233210
523204221040
62334242500
7436024230
oct144065744
954336250
1026242020
11138a4022
128956430
13558a62c
1436b15c0
152485630
hex1906be4

26242020 has 144 divisors (see below), whose sum is σ = 92776320. Its totient is φ = 5879808.

The previous prime is 26242019. The next prime is 26242061. The reversal of 26242020 is 2024262.

It is a happy number.

26242020 is a `hidden beast` number, since 2 + 624 + 20 + 20 = 666.

It is a super-2 number, since 2×262420202 = 1377287227360800, which contains 22 as substring.

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 = 26241984 and 26242002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74164 + ... + 74516.

It is an arithmetic number, because the mean of its divisors is an integer number (644280).

Almost surely, 226242020 is an apocalyptic number.

26242020 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 26242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388160).

26242020 is an abundant number, since it is smaller than the sum of its proper divisors (66534300).

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

26242020 is a wasteful number, since it uses less digits than its factorization.

26242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

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

The square root of 26242020 is about 5122.6965555262. The cubic root of 26242020 is about 297.1659787147.

Adding to 26242020 its reverse (2024262), we get a palindrome (28266282).

The spelling of 26242020 in words is "twenty-six million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 353 354 413 420 531 590 630 706 708 826 885 1059 1062 1180 1239 1260 1412 1652 1765 1770 2065 2118 2124 2471 2478 2655 3177 3530 3540 3717 4130 4236 4942 4956 5295 5310 6195 6354 7060 7413 7434 8260 9884 10590 10620 12355 12390 12708 14826 14868 15885 18585 20827 21180 22239 24710 24780 29652 31770 37065 37170 41654 44478 49420 62481 63540 74130 74340 83308 88956 104135 111195 124962 145789 148260 187443 208270 222390 249924 291578 312405 374886 416540 437367 444780 583156 624810 728945 749772 874734 937215 1249620 1312101 1457890 1749468 1874430 2186835 2624202 2915780 3748860 4373670 5248404 6560505 8747340 13121010 26242020