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21604140 = 22325196317
BaseRepresentation
bin101001001101…
…0011100101100
31111122121022100
41102122130230
521012313030
62051015100
7351426555
oct122323454
944577270
1021604140
1111216568
12729a490
13462561c
142c2532c
151d6b360
hex149a72c

21604140 has 72 divisors (see below), whose sum is σ = 68992560. Its totient is φ = 5457024.

The previous prime is 21604139. The next prime is 21604151. The reversal of 21604140 is 4140612.

21604140 is a `hidden beast` number, since 21 + 604 + 1 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 221604140 is an apocalyptic number.

21604140 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 21604140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496280).

21604140 is an abundant number, since it is smaller than the sum of its proper divisors (47388420).

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

21604140 is a wasteful number, since it uses less digits than its factorization.

21604140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21604140 is about 4648.0253871940. The cubic root of 21604140 is about 278.5131216373.

Adding to 21604140 its reverse (4140612), we get a palindrome (25744752).

The spelling of 21604140 in words is "twenty-one million, six hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6317 12634 18951 25268 31585 37902 56853 63170 75804 94755 113706 120023 126340 189510 227412 240046 284265 360069 379020 480092 568530 600115 720138 1080207 1137060 1200230 1440276 1800345 2160414 2400460 3600690 4320828 5401035 7201380 10802070 21604140