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20036268 = 22337171559
BaseRepresentation
bin100110001101…
…1101010101100
31101200221121000
41030123222230
520112130033
61553240300
7332206530
oct114335254
941627530
1020036268
11103455aa
126863090
1341c6aa5
142937bc0
151b5ba13
hex131baac

20036268 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 5384448.

The previous prime is 20036257. The next prime is 20036273. The reversal of 20036268 is 86263002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12073 + ... + 13631.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 220036268 is an apocalyptic number.

20036268 is a gapful number since it is divisible by the number (28) 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 20036268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20036268 is an abundant number, since it is smaller than the sum of its proper divisors (42862932).

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

20036268 is a wasteful number, since it uses less digits than its factorization.

20036268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20036268 is about 4476.1890040524. The cubic root of 20036268 is about 271.6057400768.

The spelling of 20036268 in words is "twenty million, thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1559 1836 2142 3118 3213 4284 4677 6236 6426 9354 10913 12852 14031 18708 21826 26503 28062 32739 42093 43652 53006 56124 65478 79509 84186 98217 106012 130956 159018 168372 185521 196434 238527 294651 318036 371042 392868 477054 556563 589302 715581 742084 954108 1113126 1178604 1431162 1669689 2226252 2862324 3339378 5009067 6678756 10018134 20036268