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21921328 = 2411213267
BaseRepresentation
bin101001110011…
…1111000110000
31112020201102001
41103213320300
521102440303
62101503344
7354220402
oct123477060
945221361
1021921328
1111412900
127411b54
134706b00
142ca8b72
151dd031d
hex14e7e30

21921328 has 90 divisors (see below), whose sum is σ = 51306612. Its totient is φ = 9060480.

The previous prime is 21921301. The next prime is 21921337. The reversal of 21921328 is 82312912.

It is a junction number, because it is equal to n+sod(n) for n = 21921296 and 21921305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327151 + ... + 327217.

Almost surely, 221921328 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 21921328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25653306).

21921328 is an abundant number, since it is smaller than the sum of its proper divisors (29385284).

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

21921328 is a wasteful number, since it uses less digits than its factorization.

21921328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 21921328 is about 4682.0217855110. The cubic root of 21921328 is about 279.8695310528.

The spelling of 21921328 in words is "twenty-one million, nine hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 67 88 104 121 134 143 169 176 208 242 268 286 338 484 536 572 676 737 871 968 1072 1144 1352 1474 1573 1742 1859 1936 2288 2704 2948 3146 3484 3718 5896 6292 6968 7436 8107 9581 11323 11792 12584 13936 14872 16214 19162 20449 22646 25168 29744 32428 38324 40898 45292 64856 76648 81796 90584 105391 124553 129712 153296 163592 181168 210782 249106 327184 421564 498212 843128 996424 1370083 1686256 1992848 2740166 5480332 10960664 21921328