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21343872 = 2731131163
BaseRepresentation
bin101000101101…
…0111010000000
31111011101021210
41101122322000
520431000442
62041250120
7346264014
oct121327200
944141253
1021343872
1111058a70
127193940
134564014
142b98544
151d1919c
hex145ae80

21343872 has 128 divisors (see below), whose sum is σ = 64235520. Its totient is φ = 6220800.

The previous prime is 21343853. The next prime is 21343901. The reversal of 21343872 is 27834312.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130863 + ... + 131025.

It is an arithmetic number, because the mean of its divisors is an integer number (501840).

Almost surely, 221343872 is an apocalyptic number.

21343872 is a gapful number since it is divisible by the number (22) 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 21343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117760).

21343872 is an abundant number, since it is smaller than the sum of its proper divisors (42891648).

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

21343872 is a wasteful number, since it uses less digits than its factorization.

21343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 21343872 is about 4619.9428567895. The cubic root of 21343872 is about 277.3901716180.

It can be divided in two parts, 2134 and 3872, that added together give a palindrome (6006).

The spelling of 21343872 in words is "twenty-one million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 163 176 186 192 248 264 326 341 352 372 384 489 496 528 652 682 704 744 978 992 1023 1056 1304 1364 1408 1488 1793 1956 1984 2046 2112 2608 2728 2976 3586 3912 3968 4092 4224 5053 5216 5379 5456 5952 7172 7824 8184 10106 10432 10758 10912 11904 14344 15159 15648 16368 20212 20864 21516 21824 28688 30318 31296 32736 40424 43032 43648 55583 57376 60636 62592 65472 80848 86064 111166 114752 121272 130944 161696 166749 172128 222332 229504 242544 323392 333498 344256 444664 485088 646784 666996 688512 889328 970176 1333992 1778656 1940352 2667984 3557312 5335968 7114624 10671936 21343872