Search a number
-
+
21036672 = 27342029
BaseRepresentation
bin101000000111…
…1111010000000
31110120202220000
41100033322000
520341133142
62030520000
7343544256
oct120177200
943522800
1021036672
1110969188
127066000
134487247
142b185d6
151ca814c
hex140fe80

21036672 has 80 divisors (see below), whose sum is σ = 62635650. Its totient is φ = 7008768.

The previous prime is 21036671. The next prime is 21036689. The reversal of 21036672 is 27663012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 9585216 = 3384^2 + 3096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (21036671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9354 + ... + 11382.

Almost surely, 221036672 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 21036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31317825).

21036672 is an abundant number, since it is smaller than the sum of its proper divisors (41598978).

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

21036672 is an equidigital number, since it uses as much as digits as its factorization.

21036672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 21036672 is about 4586.5751928863. The cubic root of 21036672 is about 276.0529199093.

Adding to 21036672 its reverse (27663012), we get a palindrome (48699684).

The spelling of 21036672 in words is "twenty-one million, thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2029 2592 3456 4058 5184 6087 8116 10368 12174 16232 18261 24348 32464 36522 48696 54783 64928 73044 97392 109566 129856 146088 164349 194784 219132 259712 292176 328698 389568 438264 584352 657396 779136 876528 1168704 1314792 1753056 2337408 2629584 3506112 5259168 7012224 10518336 21036672