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21204480 = 293511251
BaseRepresentation
bin101000011100…
…0111000000000
31110220022002010
41100320320000
520412020410
62034252520
7345143433
oct120707000
943808063
1021204480
1110a73270
127127140
13451573b
142b5d81a
151cdcc20
hex1438e00

21204480 has 160 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 5120000.

The previous prime is 21204451. The next prime is 21204487. The reversal of 21204480 is 8440212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204487) 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, 84355 + ... + 84605.

Almost surely, 221204480 is an apocalyptic number.

21204480 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 21204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

21204480 is an abundant number, since it is smaller than the sum of its proper divisors (53040768).

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

21204480 is a wasteful number, since it uses less digits than its factorization.

21204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21204480 is about 4604.8322445014. The cubic root of 21204480 is about 276.7849947873.

Adding to 21204480 its reverse (8440212), we get a palindrome (29644692).

The spelling of 21204480 in words is "twenty-one million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 251 256 264 320 330 352 384 440 480 502 512 528 640 660 704 753 768 880 960 1004 1056 1255 1280 1320 1408 1506 1536 1760 1920 2008 2112 2510 2560 2640 2761 2816 3012 3520 3765 3840 4016 4224 5020 5280 5522 5632 6024 7040 7530 7680 8032 8283 8448 10040 10560 11044 12048 13805 14080 15060 16064 16566 16896 20080 21120 22088 24096 27610 28160 30120 32128 33132 40160 41415 42240 44176 48192 55220 60240 64256 66264 80320 82830 84480 88352 96384 110440 120480 128512 132528 160640 165660 176704 192768 220880 240960 265056 321280 331320 353408 385536 441760 481920 530112 642560 662640 706816 883520 963840 1060224 1325280 1413632 1767040 1927680 2120448 2650560 3534080 4240896 5301120 7068160 10602240 21204480