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21053648 = 2471123743
BaseRepresentation
bin101000001010…
…0000011010000
31110121122011202
41100110003100
520342204043
62031130332
7343644620
oct120240320
943548152
1021053648
111097aa10
1270739a8
134491ba5
142b20880
151cad1b8
hex14140d0

21053648 has 80 divisors (see below), whose sum is σ = 53139456. Its totient is φ = 7835520.

The previous prime is 21053639. The next prime is 21053651. The reversal of 21053648 is 84635012.

It is a super-3 number, since 3×210536483 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21053648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27965 + ... + 28707.

Almost surely, 221053648 is an apocalyptic number.

21053648 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 21053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728).

21053648 is an abundant number, since it is smaller than the sum of its proper divisors (32085808).

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

21053648 is a wasteful number, since it uses less digits than its factorization.

21053648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 21053648 is about 4588.4254379907. The cubic root of 21053648 is about 276.1271555800.

The spelling of 21053648 in words is "twenty-one million, fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 743 1012 1232 1288 1486 1771 2024 2576 2972 3542 4048 5201 5944 7084 8173 10402 11888 14168 16346 17089 20804 28336 32692 34178 41608 57211 65384 68356 83216 114422 119623 130768 136712 187979 228844 239246 273424 375958 457688 478492 751916 915376 956984 1315853 1503832 1913968 2631706 3007664 5263412 10526824 21053648