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21401424 = 24321159229
BaseRepresentation
bin101000110100…
…0111101010000
31111021022020100
41101220331100
520434321144
62042412400
7346623552
oct121507520
944238210
1021401424
1111098230
127201100
134584285
142bb14d2
151d2b269
hex1468f50

21401424 has 120 divisors (see below), whose sum is σ = 66736800. Its totient is φ = 6347520.

The previous prime is 21401417. The next prime is 21401437. The reversal of 21401424 is 42410412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21401397 and 21401406.

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 23 ways as a sum of consecutive naturals, for example, 93342 + ... + 93570.

It is an arithmetic number, because the mean of its divisors is an integer number (556140).

Almost surely, 221401424 is an apocalyptic number.

21401424 is a gapful number since it is divisible by the number (24) 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 21401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33368400).

21401424 is an abundant number, since it is smaller than the sum of its proper divisors (45335376).

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

21401424 is a wasteful number, since it uses less digits than its factorization.

21401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 21401424 is about 4626.1673121494. The cubic root of 21401424 is about 277.6392678106.

Adding to 21401424 its reverse (42410412), we get a palindrome (63811836).

The spelling of 21401424 in words is "twenty-one million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 132 144 176 177 198 229 236 264 354 396 458 472 528 531 649 687 708 792 916 944 1062 1298 1374 1416 1584 1832 1947 2061 2124 2519 2596 2748 2832 3664 3894 4122 4248 5038 5192 5496 5841 7557 7788 8244 8496 10076 10384 10992 11682 13511 15114 15576 16488 20152 22671 23364 27022 30228 31152 32976 40304 40533 45342 46728 54044 60456 81066 90684 93456 108088 120912 121599 148621 162132 181368 216176 243198 297242 324264 362736 445863 486396 594484 648528 891726 972792 1188968 1337589 1783452 1945584 2377936 2675178 3566904 5350356 7133808 10700712 21401424