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21714048 = 273361103
BaseRepresentation
bin101001011010…
…1010010000000
31111212012002000
41102311102000
521024322143
62053224000
7352365156
oct122652200
944765060
1021714048
11112910a4
127332000
134663665
142c533d6
151d8dbd3
hex14b5480

21714048 has 128 divisors (see below), whose sum is σ = 65769600. Its totient is φ = 7050240.

The previous prime is 21714041. The next prime is 21714053. The reversal of 21714048 is 84041712.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (21714041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210765 + ... + 210867.

It is an arithmetic number, because the mean of its divisors is an integer number (513825).

Almost surely, 221714048 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 21714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32884800).

21714048 is an abundant number, since it is smaller than the sum of its proper divisors (44055552).

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

21714048 is a wasteful number, since it uses less digits than its factorization.

21714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21714048 is about 4659.8334734194. The cubic root of 21714048 is about 278.9846216521.

The spelling of 21714048 in words is "twenty-one million, seven hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 103 108 122 128 144 183 192 206 216 244 288 309 366 384 412 432 488 549 576 618 732 824 864 927 976 1098 1152 1236 1464 1647 1648 1728 1854 1952 2196 2472 2781 2928 3294 3296 3456 3708 3904 4392 4944 5562 5856 6283 6588 6592 7416 7808 8784 9888 11124 11712 12566 13176 13184 14832 17568 18849 19776 22248 23424 25132 26352 29664 35136 37698 39552 44496 50264 52704 56547 59328 70272 75396 88992 100528 105408 113094 118656 150792 169641 177984 201056 210816 226188 301584 339282 355968 402112 452376 603168 678564 804224 904752 1206336 1357128 1809504 2412672 2714256 3619008 5428512 7238016 10857024 21714048