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21521268 = 2233892239
BaseRepresentation
bin101001000011…
…0001101110100
31111111101122000
41102012031310
521002140033
62045135300
7350633136
oct122061564
944441560
1021521268
111116a27a
12725a530
1345c69a2
142c03056
151d51a13
hex1486374

21521268 has 48 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 7089984.

The previous prime is 21521263. The next prime is 21521299. The reversal of 21521268 is 86212512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21521263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8493 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 221521268 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 21521268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

21521268 is an abundant number, since it is smaller than the sum of its proper divisors (34926732).

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

21521268 is a wasteful number, since it uses less digits than its factorization.

21521268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 21521268 is about 4639.1020682886. The cubic root of 21521268 is about 278.1565462345.

The spelling of 21521268 in words is "twenty-one million, five hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2239 2403 3204 4478 4806 6717 8956 9612 13434 20151 26868 40302 60453 80604 120906 199271 241812 398542 597813 797084 1195626 1793439 2391252 3586878 5380317 7173756 10760634 21521268