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21384912 = 2431773359
BaseRepresentation
bin101000110010…
…0111011010000
31111020110120210
41101210323100
520433304122
62042204120
7346524453
oct121447320
944213523
1021384912
111108688a
1271b3640
1345798c3
142ba949a
151d2640c
hex1464ed0

21384912 has 80 divisors (see below), whose sum is σ = 59460480. Its totient is φ = 6598656.

The previous prime is 21384907. The next prime is 21384931. The reversal of 21384912 is 21948312.

It is a super-2 number, since 2×213849122 = 914628922495488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21384912.

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 15 ways as a sum of consecutive naturals, for example, 59389 + ... + 59747.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 221384912 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 21384912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730240).

21384912 is an abundant number, since it is smaller than the sum of its proper divisors (38075568).

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

21384912 is a wasteful number, since it uses less digits than its factorization.

21384912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 21384912 is about 4624.3823371343. The cubic root of 21384912 is about 277.5678464089.

The spelling of 21384912 in words is "twenty-one million, three hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 359 408 438 584 718 816 876 1077 1168 1241 1436 1752 2154 2482 2872 3504 3723 4308 4964 5744 6103 7446 8616 9928 12206 14892 17232 18309 19856 24412 26207 29784 36618 48824 52414 59568 73236 78621 97648 104828 146472 157242 209656 292944 314484 419312 445519 628968 891038 1257936 1336557 1782076 2673114 3564152 5346228 7128304 10692456 21384912