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21668736 = 27373773
BaseRepresentation
bin101001010101…
…0001110000000
31111202212220210
41102222032000
521021344421
62052234120
7352116105
oct122521600
944685823
1021668736
1111260051
12730b940
134648b4b
142c40aac
151d80576
hex14aa380

21668736 has 64 divisors (see below), whose sum is σ = 58421520. Its totient is φ = 7114752.

The previous prime is 21668729. The next prime is 21668743. The reversal of 21668736 is 63786612.

It is an interprime number because it is at equal distance from previous prime (21668729) and next prime (21668743).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21668694 and 21668703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27646 + ... + 28418.

Almost surely, 221668736 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 21668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29210760).

21668736 is an abundant number, since it is smaller than the sum of its proper divisors (36752784).

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

21668736 is an equidigital number, since it uses as much as digits as its factorization.

21668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 21668736 is about 4654.9689580061. The cubic root of 21668736 is about 278.7904285574.

The spelling of 21668736 in words is "twenty-one million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 773 876 1168 1546 1752 2319 2336 3092 3504 4638 4672 6184 7008 9276 9344 12368 14016 18552 24736 28032 37104 49472 56429 74208 98944 112858 148416 169287 225716 296832 338574 451432 677148 902864 1354296 1805728 2708592 3611456 5417184 7222912 10834368 21668736