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21410424 = 23327231847
BaseRepresentation
bin101000110101…
…1001001111000
31111021202120200
41101223021320
520440113144
62042522200
7346662030
oct121531170
944252520
1021410424
11110a3a72
127206360
1345883b9
142bb48c0
151d2dc69
hex146b278

21410424 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 5848128.

The previous prime is 21410423. The next prime is 21410437. The reversal of 21410424 is 42401412.

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 = 21410397 and 21410406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10669 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 221410424 is an apocalyptic number.

21410424 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 21410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

21410424 is an abundant number, since it is smaller than the sum of its proper divisors (47778696).

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

21410424 is a wasteful number, since it uses less digits than its factorization.

21410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

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

The square root of 21410424 is about 4627.1399373695. The cubic root of 21410424 is about 277.6781811593.

Adding to 21410424 its reverse (42401412), we get a palindrome (63811836).

The spelling of 21410424 in words is "twenty-one million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1847 1932 2898 3694 3864 5541 5796 7388 11082 11592 12929 14776 16623 22164 25858 33246 38787 42481 44328 51716 66492 77574 84962 103432 116361 127443 132984 155148 169924 232722 254886 297367 310296 339848 382329 465444 509772 594734 764658 892101 930888 1019544 1189468 1529316 1784202 2378936 2676303 3058632 3568404 5352606 7136808 10705212 21410424