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21380928 = 263195861
BaseRepresentation
bin101000110001…
…1111101000000
31111020021010020
41101203331000
520433142203
62042133440
7346510032
oct121437500
944207106
1021380928
1111083898
1271b1280
134577b4a
142ba7c52
151d25153
hex1463f40

21380928 has 56 divisors (see below), whose sum is σ = 59557920. Its totient is φ = 6750720.

The previous prime is 21380923. The next prime is 21380929. The reversal of 21380928 is 82908312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21380921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 718 + ... + 6578.

Almost surely, 221380928 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 21380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29778960).

21380928 is an abundant number, since it is smaller than the sum of its proper divisors (38176992).

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

21380928 is a wasteful number, since it uses less digits than its factorization.

21380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 21380928 is about 4623.9515568397. The cubic root of 21380928 is about 277.5506084145.

The spelling of 21380928 in words is "twenty-one million, three hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 5861 11722 17583 23444 35166 46888 70332 93776 111359 140664 187552 222718 281328 334077 375104 445436 562656 668154 890872 1125312 1336308 1781744 2672616 3563488 5345232 7126976 10690464 21380928