Search a number
-
+
21726208 = 21072433
BaseRepresentation
bin101001011100…
…0010000000000
31111212210202101
41102320100000
521030214313
62053400144
7352445500
oct122702000
944783671
1021726208
111129a249
127339054
13466905a
142c57a00
151d925dd
hex14b8400

21726208 has 66 divisors (see below), whose sum is σ = 50638686. Its totient is φ = 9289728.

The previous prime is 21726197. The next prime is 21726209. The reversal of 21726208 is 80262712.

It can be written as a sum of positive squares in only one way, i.e., 14500864 + 7225344 = 3808^2 + 2688^2 .

It is a super-2 number, since 2×217262082 = 944056228118528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21726209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49960 + ... + 50392.

Almost surely, 221726208 is an apocalyptic number.

21726208 is a gapful number since it is divisible by the number (28) 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 21726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25319343).

21726208 is an abundant number, since it is smaller than the sum of its proper divisors (28912478).

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

21726208 is an equidigital number, since it uses as much as digits as its factorization.

21726208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 21726208 is about 4661.1380584574. The cubic root of 21726208 is about 279.0366896333.

The spelling of 21726208 in words is "twenty-one million, seven hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 433 448 512 784 866 896 1024 1568 1732 1792 3031 3136 3464 3584 6062 6272 6928 7168 12124 12544 13856 21217 24248 25088 27712 42434 48496 50176 55424 84868 96992 110848 169736 193984 221696 339472 387968 443392 678944 775936 1357888 1551872 2715776 3103744 5431552 10863104 21726208