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20284264 = 237111317149
BaseRepresentation
bin100110101100…
…0001101101000
31102011112210001
41031120031220
520143044024
62002432344
7334261540
oct115301550
942145701
1020284264
11104a4960
1269626b4
134282930
1429a0320
151baa244
hex1358368

20284264 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6819840.

The previous prime is 20284249. The next prime is 20284273. The reversal of 20284264 is 46248202.

It is a super-2 number, since 2×202842642 = 822902732043392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 136062 + ... + 136210.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 220284264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20284264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20284264 is an abundant number, since it is smaller than the sum of its proper divisors (34147736).

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

20284264 is a wasteful number, since it uses less digits than its factorization.

20284264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 20284264 is about 4503.8055020172. The cubic root of 20284264 is about 272.7217351872.

The spelling of 20284264 in words is "twenty million, two hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 149 154 182 187 221 238 286 298 308 364 374 442 476 572 596 616 728 748 884 952 1001 1043 1144 1192 1309 1496 1547 1639 1768 1937 2002 2086 2431 2533 2618 3094 3278 3874 4004 4172 4862 5066 5236 6188 6556 7748 8008 8344 9724 10132 10472 11473 12376 13112 13559 15496 17017 17731 19448 20264 21307 22946 27118 27863 32929 34034 35462 42614 45892 54236 55726 65858 68068 70924 85228 91784 108472 111452 131716 136136 141848 149149 170456 195041 222904 230503 263432 298298 362219 390082 461006 596596 724438 780164 922012 1193192 1448876 1560328 1844024 2535533 2897752 5071066 10142132 20284264