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21614640 = 2435113797
BaseRepresentation
bin101001001110…
…1000000110000
31111200010201020
41102131000300
521013132030
62051135440
7351502305
oct122350060
944603636
1021614640
1111223443
1272a4580
13462a338
142c290ac
151d6e510
hex149d030

21614640 has 80 divisors (see below), whose sum is σ = 67683168. Its totient is φ = 5705728.

The previous prime is 21614597. The next prime is 21614651. The reversal of 21614640 is 4641612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21614640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26722 + ... + 27518.

Almost surely, 221614640 is an apocalyptic number.

21614640 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 21614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841584).

21614640 is an abundant number, since it is smaller than the sum of its proper divisors (46068528).

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

21614640 is a wasteful number, since it uses less digits than its factorization.

21614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21614640 is about 4649.1547618895. The cubic root of 21614640 is about 278.5582351223.

The spelling of 21614640 in words is "twenty-one million, six hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 797 904 1130 1356 1594 1695 1808 2260 2391 2712 3188 3390 3985 4520 4782 5424 6376 6780 7970 9040 9564 11955 12752 13560 15940 19128 23910 27120 31880 38256 47820 63760 90061 95640 180122 191280 270183 360244 450305 540366 720488 900610 1080732 1350915 1440976 1801220 2161464 2701830 3602440 4322928 5403660 7204880 10807320 21614640