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20264112 = 24321121163
BaseRepresentation
bin100110101001…
…1010010110000
31102010112010200
41031103102300
520141422422
62002155200
7334146021
oct115232260
942115120
1020264112
1110490800
126952b00
1342766cb
142996c48
151ba42ac
hex13534b0

20264112 has 90 divisors (see below), whose sum is σ = 62389236. Its totient is φ = 6135360.

The previous prime is 20264087. The next prime is 20264113. The reversal of 20264112 is 21146202.

20264112 is a `hidden beast` number, since 20 + 2 + 641 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20264113) 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 17 ways as a sum of consecutive naturals, for example, 16843 + ... + 18005.

Almost surely, 220264112 is an apocalyptic number.

20264112 is a gapful number since it is divisible by the number (22) 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 20264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31194618).

20264112 is an abundant number, since it is smaller than the sum of its proper divisors (42125124).

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

20264112 is a wasteful number, since it uses less digits than its factorization.

20264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20264112 is about 4501.5677269147. The cubic root of 20264112 is about 272.6313907799.

The spelling of 20264112 in words is "twenty million, two hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1163 1452 1584 1936 2178 2326 2904 3489 4356 4652 5808 6978 8712 9304 10467 12793 13956 17424 18608 20934 25586 27912 38379 41868 51172 55824 76758 83736 102344 115137 140723 153516 167472 204688 230274 281446 307032 422169 460548 562892 614064 844338 921096 1125784 1266507 1688676 1842192 2251568 2533014 3377352 5066028 6754704 10132056 20264112