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21672420 = 22357114691
BaseRepresentation
bin101001010101…
…1000111100100
31111210001222020
41102223013210
521022004140
62052303140
7352132620
oct122530744
944701866
1021672420
11112628a0
127311ab0
13464a723
142c42180
151d816d0
hex14ab1e4

21672420 has 96 divisors (see below), whose sum is σ = 75672576. Its totient is φ = 4502400.

The previous prime is 21672403. The next prime is 21672421. The reversal of 21672420 is 2427612.

It is not an unprimeable number, because it can be changed into a prime (21672421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (788256).

Almost surely, 221672420 is an apocalyptic number.

21672420 is a gapful number since it is divisible by the number (20) 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 21672420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37836288).

21672420 is an abundant number, since it is smaller than the sum of its proper divisors (54000156).

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

21672420 is a wasteful number, since it uses less digits than its factorization.

21672420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21672420 is about 4655.3646473719. The cubic root of 21672420 is about 278.8062271368.

The spelling of 21672420 in words is "twenty-one million, six hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 4691 9382 14073 18764 23455 28146 32837 46910 51601 56292 65674 70365 93820 98511 103202 131348 140730 154803 164185 197022 206404 258005 281460 309606 328370 361207 394044 492555 516010 619212 656740 722414 774015 985110 1032020 1083621 1444828 1548030 1806035 1970220 2167242 3096060 3612070 4334484 5418105 7224140 10836210 21672420