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21009144 = 23313172233
BaseRepresentation
bin101000000100…
…1001011111000
31110112101010110
41100021023320
520334243034
62030144320
7343401102
oct120111370
943471113
1021009144
111094a532
1270520a0
134477860
142b0c572
151c9ede9
hex14092f8

21009144 has 96 divisors (see below), whose sum is σ = 60343920. Its totient is φ = 6057984.

The previous prime is 21009139. The next prime is 21009151. The reversal of 21009144 is 44190012.

It is a super-2 number, since 2×210091442 = 882768263225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21009144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90052 + ... + 90284.

Almost surely, 221009144 is an apocalyptic number.

21009144 is a gapful number since it is divisible by the number (24) 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 21009144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171960).

21009144 is an abundant number, since it is smaller than the sum of its proper divisors (39334776).

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

21009144 is a wasteful number, since it uses less digits than its factorization.

21009144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21009144 is about 4583.5732785677. The cubic root of 21009144 is about 275.9324556412.

Adding to 21009144 its reverse (44190012), we get a palindrome (65199156).

The spelling of 21009144 in words is "twenty-one million, nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 233 289 312 408 442 466 578 663 699 867 884 932 1156 1326 1398 1734 1768 1864 2312 2652 2796 3029 3468 3757 3961 5304 5592 6058 6936 7514 7922 9087 11271 11883 12116 15028 15844 18174 22542 23766 24232 30056 31688 36348 45084 47532 51493 67337 72696 90168 95064 102986 134674 154479 202011 205972 269348 308958 404022 411944 538696 617916 808044 875381 1235832 1616088 1750762 2626143 3501524 5252286 7003048 10504572 21009144