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21169920 = 283537149
BaseRepresentation
bin101000011000…
…0011100000000
31110211112200010
41100300130000
520404414140
62033424520
7344640612
oct120603400
943745603
1021169920
1110a4a302
12710b140
134502aa5
142b50db2
151cd2880
hex1430700

21169920 has 144 divisors (see below), whose sum is σ = 69904800. Its totient is φ = 5455872.

The previous prime is 21169919. The next prime is 21169921. The reversal of 21169920 is 2996112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21169919) and next prime (21169921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21169921) by changing a digit.

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, 142006 + ... + 142154.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 221169920 is an apocalyptic number.

21169920 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 21169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34952400).

21169920 is an abundant number, since it is smaller than the sum of its proper divisors (48734880).

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

21169920 is a wasteful number, since it uses less digits than its factorization.

21169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 21169920 is about 4601.0781345246. The cubic root of 21169920 is about 276.6345408739.

The spelling of 21169920 in words is "twenty-one million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 149 160 185 192 222 240 256 296 298 320 370 384 444 447 480 555 592 596 640 740 745 768 888 894 960 1110 1184 1192 1280 1480 1490 1776 1788 1920 2220 2235 2368 2384 2960 2980 3552 3576 3840 4440 4470 4736 4768 5513 5920 5960 7104 7152 8880 8940 9472 9536 11026 11840 11920 14208 14304 16539 17760 17880 19072 22052 23680 23840 27565 28416 28608 33078 35520 35760 38144 44104 47360 47680 55130 57216 66156 71040 71520 82695 88208 95360 110260 114432 132312 142080 143040 165390 176416 190720 220520 264624 286080 330780 352832 441040 529248 572160 661560 705664 882080 1058496 1323120 1411328 1764160 2116992 2646240 3528320 4233984 5292480 7056640 10584960 21169920