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21185472 = 2637111433
BaseRepresentation
bin101000011010…
…0001111000000
31110212100000010
41100310033000
520410413342
62034024520
7345034140
oct120641700
943770003
1021185472
1110a5aa60
127118140
134509ba9
142b56920
151cd729c
hex14343c0

21185472 has 112 divisors (see below), whose sum is σ = 69933312. Its totient is φ = 5498880.

The previous prime is 21185459. The next prime is 21185473. The reversal of 21185472 is 27458112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21185473) 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, 14068 + ... + 15500.

Almost surely, 221185472 is an apocalyptic number.

21185472 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 21185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34966656).

21185472 is an abundant number, since it is smaller than the sum of its proper divisors (48747840).

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

21185472 is a wasteful number, since it uses less digits than its factorization.

21185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1456 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 21185472 is about 4602.7678629277. The cubic root of 21185472 is about 276.7022653827.

The spelling of 21185472 in words is "twenty-one million, one hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1433 1848 2112 2464 2866 3696 4299 4928 5732 7392 8598 10031 11464 14784 15763 17196 20062 22928 30093 31526 34392 40124 45856 47289 60186 63052 68784 80248 91712 94578 110341 120372 126104 137568 160496 189156 220682 240744 252208 275136 320992 331023 378312 441364 481488 504416 641984 662046 756624 882728 962976 1008832 1324092 1513248 1765456 1925952 2648184 3026496 3530912 5296368 7061824 10592736 21185472