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21442320 = 243551103
BaseRepresentation
bin101000111001…
…0111100010000
31111100101100000
41101302330100
520442123240
62043330000
7350154024
oct121627420
944311300
1021442320
1111115a29
127220900
134599a83
142bc2384
151d38430
hex1472f10

21442320 has 120 divisors (see below), whose sum is σ = 74745216. Its totient is φ = 5712768.

The previous prime is 21442319. The next prime is 21442327. The reversal of 21442320 is 2324412.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 21442293 and 21442302.

It is not an unprimeable number, because it can be changed into a prime (21442327) 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, 18889 + ... + 19991.

Almost surely, 221442320 is an apocalyptic number.

21442320 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 21442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37372608).

21442320 is an abundant number, since it is smaller than the sum of its proper divisors (53302896).

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

21442320 is a wasteful number, since it uses less digits than its factorization.

21442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21442320 is about 4630.5852761827. The cubic root of 21442320 is about 277.8160023249.

Adding to 21442320 its reverse (2324412), we get a palindrome (23766732).

The spelling of 21442320 in words is "twenty-one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1103 1215 1296 1620 1944 2160 2206 2430 3240 3309 3888 4412 4860 5515 6480 6618 8824 9720 9927 11030 13236 16545 17648 19440 19854 22060 26472 29781 33090 39708 44120 49635 52944 59562 66180 79416 88240 89343 99270 119124 132360 148905 158832 178686 198540 238248 264720 268029 297810 357372 397080 446715 476496 536058 595620 714744 794160 893430 1072116 1191240 1340145 1429488 1786860 2144232 2382480 2680290 3573720 4288464 5360580 7147440 10721160 21442320