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21234752 = 2671131139
BaseRepresentation
bin101000100000…
…0010001000000
31110221211121022
41101000101000
520414003002
62035045012
7345330620
oct121002100
943854538
1021234752
1110a93a90
127140768
134526456
142b6a880
151ce6ba2
hex1440440

21234752 has 112 divisors (see below), whose sum is σ = 54620160. Its totient is φ = 7948800.

The previous prime is 21234713. The next prime is 21234767. The reversal of 21234752 is 25743212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152699 + ... + 152837.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 221234752 is an apocalyptic number.

21234752 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 21234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

21234752 is an abundant number, since it is smaller than the sum of its proper divisors (33385408).

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

21234752 is a wasteful number, since it uses less digits than its factorization.

21234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 21234752 is about 4608.1180540433. The cubic root of 21234752 is about 276.9166470175.

Adding to 21234752 its reverse (25743212), we get a palindrome (46977964).

The spelling of 21234752 in words is "twenty-one million, two hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 139 154 176 217 224 248 278 308 341 352 434 448 496 556 616 682 704 868 973 992 1112 1232 1364 1529 1736 1946 1984 2224 2387 2464 2728 3058 3472 3892 4309 4448 4774 4928 5456 6116 6944 7784 8618 8896 9548 10703 10912 12232 13888 15568 17236 19096 21406 21824 24464 30163 31136 34472 38192 42812 47399 48928 60326 62272 68944 76384 85624 94798 97856 120652 137888 152768 171248 189596 241304 275776 331793 342496 379192 482608 663586 684992 758384 965216 1327172 1516768 1930432 2654344 3033536 5308688 10617376 21234752