Search a number
-
+
21867328 = 267219367
BaseRepresentation
bin101001101101…
…0101101000000
31112010222100001
41103122231000
521044223303
62100405344
7353604100
oct123325500
945128301
1021867328
111138627a
1273a6854
1346b8362
142c93200
151dbe31d
hex14dab40

21867328 has 84 divisors (see below), whose sum is σ = 53279040. Its totient is φ = 8854272.

The previous prime is 21867317. The next prime is 21867331. The reversal of 21867328 is 82376812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59401 + ... + 59767.

Almost surely, 221867328 is an apocalyptic number.

21867328 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 21867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639520).

21867328 is an abundant number, since it is smaller than the sum of its proper divisors (31411712).

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

21867328 is a wasteful number, since it uses less digits than its factorization.

21867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 21867328 is about 4676.2514902430. The cubic root of 21867328 is about 279.6395361485.

The spelling of 21867328 in words is "twenty-one million, eight hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 367 392 448 532 608 734 784 931 1064 1216 1468 1568 1862 2128 2569 2936 3136 3724 4256 5138 5872 6973 7448 8512 10276 11744 13946 14896 17983 20552 23488 27892 29792 35966 41104 48811 55784 59584 71932 82208 97622 111568 143864 164416 195244 223136 287728 341677 390488 446272 575456 683354 780976 1150912 1366708 1561952 2733416 3123904 5466832 10933664 21867328