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21328560 = 24325112693
BaseRepresentation
bin101000101011…
…1001010110000
31111010121021200
41101113022300
520430003220
62041051200
7346201251
oct121271260
944117250
1021328560
1111048510
127186b00
13455a066
142b92b28
151d14890
hex14572b0

21328560 has 120 divisors (see below), whose sum is σ = 78169104. Its totient is φ = 5168640.

The previous prime is 21328537. The next prime is 21328561. The reversal of 21328560 is 6582312.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (21328561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6574 + ... + 9266.

Almost surely, 221328560 is an apocalyptic number.

21328560 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 21328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39084552).

21328560 is an abundant number, since it is smaller than the sum of its proper divisors (56840544).

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

21328560 is a wasteful number, since it uses less digits than its factorization.

21328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 21328560 is about 4618.2853961183. The cubic root of 21328560 is about 277.3238229193.

The spelling of 21328560 in words is "twenty-one million, three hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 2693 3960 5386 7920 8079 10772 13465 16158 21544 24237 26930 29623 32316 40395 43088 48474 53860 59246 64632 80790 88869 96948 107720 118492 121185 129264 148115 161580 177738 193896 215440 236984 242370 266607 296230 323160 355476 387792 444345 473968 484740 533214 592460 646320 710952 888690 969480 1066428 1184920 1333035 1421904 1777380 1938960 2132856 2369840 2666070 3554760 4265712 5332140 7109520 10664280 21328560