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21005472 = 2531761211
BaseRepresentation
bin101000000100…
…0010010100000
31110112012002110
41100020102200
520334133342
62030115320
7343354305
oct120102240
943465073
1021005472
11109477a4
12704bb40
134475c97
142b0b0ac
151c9dc9c
hex14084a0

21005472 has 96 divisors (see below), whose sum is σ = 59621184. Its totient is φ = 6451200.

The previous prime is 21005441. The next prime is 21005473. The reversal of 21005472 is 27450012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21005473) 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, 99447 + ... + 99657.

It is an arithmetic number, because the mean of its divisors is an integer number (621054).

Almost surely, 221005472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810592).

21005472 is an abundant number, since it is smaller than the sum of its proper divisors (38615712).

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

21005472 is a wasteful number, since it uses less digits than its factorization.

21005472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 21005472 is about 4583.1727002154. The cubic root of 21005472 is about 275.9163787842.

Adding to 21005472 its reverse (27450012), we get a palindrome (48455484).

The spelling of 21005472 in words is "twenty-one million, five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 136 183 204 211 244 272 366 408 422 488 544 633 732 816 844 976 1037 1266 1464 1632 1688 1952 2074 2532 2928 3111 3376 3587 4148 5064 5856 6222 6752 7174 8296 10128 10761 12444 12871 14348 16592 20256 21522 24888 25742 28696 33184 38613 43044 49776 51484 57392 77226 86088 99552 102968 114784 154452 172176 205936 218807 308904 344352 411872 437614 617808 656421 875228 1235616 1312842 1750456 2625684 3500912 5251368 7001824 10502736 21005472