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21073536 = 2732111663
BaseRepresentation
bin101000001100…
…0111010000000
31110122122110100
41100120322000
520343323121
62031402400
7344056611
oct120307200
943578410
1021073536
1110993950
127083400
13449ac63
142b27c08
151cb4026
hex1418e80

21073536 has 96 divisors (see below), whose sum is σ = 66193920. Its totient is φ = 6382080.

The previous prime is 21073519. The next prime is 21073553. The reversal of 21073536 is 63537012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21073519) and next prime (21073553).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11841 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (689520).

Almost surely, 221073536 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 21073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096960).

21073536 is an abundant number, since it is smaller than the sum of its proper divisors (45120384).

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

21073536 is a wasteful number, since it uses less digits than its factorization.

21073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 21073536 is about 4590.5921186705. The cubic root of 21073536 is about 276.2140746195.

It can be divided in two parts, 21073 and 536, that added together give a square (21609 = 1472).

The spelling of 21073536 in words is "twenty-one million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 1663 2112 3168 3326 4224 4989 6336 6652 9978 12672 13304 14967 18293 19956 26608 29934 36586 39912 53216 54879 59868 73172 79824 106432 109758 119736 146344 159648 164637 212864 219516 239472 292688 319296 329274 439032 478944 585376 638592 658548 878064 957888 1170752 1317096 1756128 1915776 2341504 2634192 3512256 5268384 7024512 10536768 21073536