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21242160 = 24325163181
BaseRepresentation
bin101000100001…
…0000100110000
31110222012202200
41101002010300
520414222120
62035143200
7345361332
oct121020460
943865680
1021242160
1110a99605
127144b00
134529934
142b6d452
151ce8e90
hex1442130

21242160 has 120 divisors (see below), whose sum is σ = 72172464. Its totient is φ = 5598720.

The previous prime is 21242153. The next prime is 21242191. The reversal of 21242160 is 6124212.

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

It is a super-2 number, since 2×212421602 = 902458722931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 117270 + ... + 117450.

Almost surely, 221242160 is an apocalyptic number.

21242160 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 21242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086232).

21242160 is an abundant number, since it is smaller than the sum of its proper divisors (50930304).

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

21242160 is a wasteful number, since it uses less digits than its factorization.

21242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21242160 is about 4608.9217828034. The cubic root of 21242160 is about 276.9488451805.

Adding to 21242160 its reverse (6124212), we get a palindrome (27366372).

The spelling of 21242160 in words is "twenty-one million, two hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 180 181 240 326 360 362 489 543 652 720 724 815 905 978 1086 1304 1448 1467 1629 1630 1810 1956 2172 2445 2608 2715 2896 2934 3258 3260 3620 3912 4344 4890 5430 5868 6516 6520 7240 7335 7824 8145 8688 9780 10860 11736 13032 13040 14480 14670 16290 19560 21720 23472 26064 29340 29503 32580 39120 43440 58680 59006 65160 88509 117360 118012 130320 147515 177018 236024 265527 295030 354036 442545 472048 531054 590060 708072 885090 1062108 1180120 1327635 1416144 1770180 2124216 2360240 2655270 3540360 4248432 5310540 7080720 10621080 21242160