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21421024 = 252941563
BaseRepresentation
bin101000110110…
…1101111100000
31111022022010021
41101231233200
520440433044
62043043224
7350034652
oct121555740
944268107
1021421024
1111100a29
127210514
134590181
142bb86d2
151d31e84
hex146dbe0

21421024 has 48 divisors (see below), whose sum is σ = 44770320. Its totient is φ = 10071040.

The previous prime is 21420991. The next prime is 21421051. The reversal of 21421024 is 42012412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21420989 and 21421007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37767 + ... + 38329.

It is an arithmetic number, because the mean of its divisors is an integer number (932715).

Almost surely, 221421024 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 21421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385160).

21421024 is an abundant number, since it is smaller than the sum of its proper divisors (23349296).

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

21421024 is a wasteful number, since it uses less digits than its factorization.

21421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 21421024 is about 4628.2852116092. The cubic root of 21421024 is about 277.7239984539.

Adding to 21421024 its reverse (42012412), we get a palindrome (63433436).

The spelling of 21421024 in words is "twenty-one million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 563 656 928 1126 1189 1312 2252 2378 4504 4756 9008 9512 16327 18016 19024 23083 32654 38048 46166 65308 92332 130616 184664 261232 369328 522464 669407 738656 1338814 2677628 5355256 10710512 21421024