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26242380 = 2234597167
BaseRepresentation
bin110010000011…
…0110101001100
31211101020210000
41210012311030
523204224010
62334244300
7436025253
oct144066514
954336700
1026242380
11138a431a
128956690
13558a848
1436b179a
1524857c0
hex1906d4c

26242380 has 120 divisors (see below), whose sum is σ = 83670048. Its totient is φ = 6884352.

The previous prime is 26242343. The next prime is 26242397. The reversal of 26242380 is 8324262.

26242380 is a `hidden beast` number, since 2 + 624 + 2 + 38 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 157057 + ... + 157223.

Almost surely, 226242380 is an apocalyptic number.

26242380 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 26242380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41835024).

26242380 is an abundant number, since it is smaller than the sum of its proper divisors (57427668).

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

26242380 is a wasteful number, since it uses less digits than its factorization.

26242380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

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

The square root of 26242380 is about 5122.7316931497. The cubic root of 26242380 is about 297.1673375946.

The spelling of 26242380 in words is "twenty-six million, two hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 167 180 194 270 291 324 334 388 405 485 501 540 582 668 810 835 873 970 1002 1164 1455 1503 1620 1670 1746 1940 2004 2505 2619 2910 3006 3340 3492 4365 4509 5010 5238 5820 6012 7515 7857 8730 9018 10020 10476 13095 13527 15030 15714 16199 17460 18036 22545 26190 27054 30060 31428 32398 39285 45090 48597 52380 54108 64796 67635 78570 80995 90180 97194 135270 145791 157140 161990 194388 242985 270540 291582 323980 437373 485970 583164 728955 874746 971940 1312119 1457910 1749492 2186865 2624238 2915820 4373730 5248476 6560595 8747460 13121190 26242380