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21328920 = 2334529227
BaseRepresentation
bin101000101011…
…1010000011000
31111010121210000
41101113100120
520430011140
62041053000
7346202304
oct121272030
944117700
1021328920
1111048808
127187160
13455a282
142b92d04
151d14a30
hex1457418

21328920 has 160 divisors (see below), whose sum is σ = 74487600. Its totient is φ = 5467392.

The previous prime is 21328919. The next prime is 21328927. The reversal of 21328920 is 2982312.

It is a happy number.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21328927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93847 + ... + 94073.

Almost surely, 221328920 is an apocalyptic number.

21328920 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 21328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37243800).

21328920 is an abundant number, since it is smaller than the sum of its proper divisors (53158680).

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

21328920 is a wasteful number, since it uses less digits than its factorization.

21328920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21328920 is about 4618.3243714577. The cubic root of 21328920 is about 277.3253832061.

The spelling of 21328920 in words is "twenty-one million, three hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 227 232 261 270 290 324 348 360 405 435 454 522 540 580 648 681 696 783 810 870 908 1044 1080 1135 1160 1305 1362 1566 1620 1740 1816 2043 2088 2270 2349 2610 2724 3132 3240 3405 3480 3915 4086 4540 4698 5220 5448 6129 6264 6583 6810 7830 8172 9080 9396 10215 10440 11745 12258 13166 13620 15660 16344 18387 18792 19749 20430 23490 24516 26332 27240 30645 31320 32915 36774 39498 40860 46980 49032 52664 59247 61290 65830 73548 78996 81720 91935 93960 98745 118494 122580 131660 147096 157992 177741 183870 197490 236988 245160 263320 296235 355482 367740 394980 473976 533223 592470 710964 735480 789960 888705 1066446 1184940 1421928 1777410 2132892 2369880 2666115 3554820 4265784 5332230 7109640 10664460 21328920