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21360066 = 23713192971
BaseRepresentation
bin101000101111…
…0110111000010
31111012012111120
41101132313002
520432010231
62041453110
7346362150
oct121366702
944165446
1021360066
111106a152
1271a1196
13456b4c0
142ba03d0
151d1dd96
hex145edc2

21360066 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 5080320.

The previous prime is 21360013. The next prime is 21360083. The reversal of 21360066 is 66006312.

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 63 ways as a sum of consecutive naturals, for example, 300811 + ... + 300881.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 221360066 is an apocalyptic number.

21360066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21360066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

21360066 is an abundant number, since it is smaller than the sum of its proper divisors (36700734).

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

21360066 is a wasteful number, since it uses less digits than its factorization.

21360066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 21360066 is about 4621.6951435593. The cubic root of 21360066 is about 277.4603076091.

Adding to 21360066 its reverse (66006312), we get a palindrome (87366378).

The spelling of 21360066 in words is "twenty-one million, three hundred sixty thousand, sixty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 29 38 39 42 57 58 71 78 87 91 114 133 142 174 182 203 213 247 266 273 377 399 406 426 494 497 546 551 609 741 754 798 923 994 1102 1131 1218 1349 1482 1491 1653 1729 1846 2059 2262 2639 2698 2769 2982 3306 3458 3857 4047 4118 5187 5278 5538 6177 6461 7163 7714 7917 8094 9443 10374 11571 12354 12922 14326 14413 15834 17537 18886 19383 21489 23142 26767 28329 28826 35074 38766 39121 42978 43239 50141 52611 53534 56658 78242 80301 86478 100282 105222 117363 122759 150423 160602 187369 234726 245518 273847 300846 368277 374738 508573 547694 562107 736554 821541 1017146 1124214 1525719 1643082 3051438 3560011 7120022 10680033 21360066