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21886920 = 23325115527
BaseRepresentation
bin101001101111…
…1011111001000
31112011222012200
41103133133020
521100340140
62101040200
7354015156
oct123373710
945158180
1021886920
1111399a70
1273b6060
1346c4253
142c9a3d6
151dc5030
hex14df7c8

21886920 has 96 divisors (see below), whose sum is σ = 77613120. Its totient is φ = 5304960.

The previous prime is 21886919. The next prime is 21886927. The reversal of 21886920 is 2968812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21886927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197 + ... + 6723.

It is an arithmetic number, because the mean of its divisors is an integer number (808470).

Almost surely, 221886920 is an apocalyptic number.

21886920 is a gapful number since it is divisible by the number (20) 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 21886920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38806560).

21886920 is an abundant number, since it is smaller than the sum of its proper divisors (55726200).

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

21886920 is a wasteful number, since it uses less digits than its factorization.

21886920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21886920 is about 4678.3458615199. The cubic root of 21886920 is about 279.7230254282.

The spelling of 21886920 in words is "twenty-one million, eight hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5527 11054 16581 22108 27635 33162 44216 49743 55270 60797 66324 82905 99486 110540 121594 132648 165810 182391 198972 221080 243188 248715 303985 331620 364782 397944 486376 497430 547173 607970 663240 729564 911955 994860 1094346 1215940 1459128 1823910 1989720 2188692 2431880 2735865 3647820 4377384 5471730 7295640 10943460 21886920