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21328384 = 29711541
BaseRepresentation
bin101000101011…
…1001000000000
31111010121001011
41101113020000
520430002014
62041050304
7346200610
oct121271000
944117034
1021328384
1111048370
127186994
134559c5c
142b92a40
151d147c4
hex1457200

21328384 has 80 divisors (see below), whose sum is σ = 53228736. Its totient is φ = 8294400.

The previous prime is 21328381. The next prime is 21328399. The reversal of 21328384 is 48382312.

It is not an unprimeable number, because it can be changed into a prime (21328381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39154 + ... + 39694.

Almost surely, 221328384 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 21328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26614368).

21328384 is an abundant number, since it is smaller than the sum of its proper divisors (31900352).

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

21328384 is an equidigital number, since it uses as much as digits as its factorization.

21328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 561 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 21328384 is about 4618.2663413883. The cubic root of 21328384 is about 277.3230601060.

It can be divided in two parts, 21328 and 384, that added together give a palindrome (21712).

The spelling of 21328384 in words is "twenty-one million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 541 616 704 896 1082 1232 1408 1792 2164 2464 2816 3584 3787 4328 4928 5632 5951 7574 8656 9856 11902 15148 17312 19712 23804 30296 34624 39424 41657 47608 60592 69248 83314 95216 121184 138496 166628 190432 242368 276992 333256 380864 484736 666512 761728 969472 1333024 1523456 1938944 2666048 3046912 5332096 10664192 21328384