Search a number
-
+
21084864 = 263193569
BaseRepresentation
bin101000001101…
…1101011000000
31110200012222220
41100123223000
520344203424
62031531040
7344134623
oct120335300
943605886
1021084864
11109a1409
127089a80
1344a3168
142b2bdba
151cb7579
hex141bac0

21084864 has 56 divisors (see below), whose sum is σ = 56174640. Its totient is φ = 6979584.

The previous prime is 21084853. The next prime is 21084881. The reversal of 21084864 is 46848012.

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, 36772 + ... + 37340.

Almost surely, 221084864 is an apocalyptic number.

21084864 is a gapful number since it is divisible by the number (24) 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 21084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087320).

21084864 is an abundant number, since it is smaller than the sum of its proper divisors (35089776).

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

21084864 is a wasteful number, since it uses less digits than its factorization.

21084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 21084864 is about 4591.8257806672. The cubic root of 21084864 is about 276.2635583662.

The spelling of 21084864 in words is "twenty-one million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 569 579 772 1138 1158 1544 1707 2276 2316 3088 3414 4552 4632 6176 6828 9104 9264 12352 13656 18208 18528 27312 36416 37056 54624 109248 109817 219634 329451 439268 658902 878536 1317804 1757072 2635608 3514144 5271216 7028288 10542432 21084864