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21356082 = 23311157229
BaseRepresentation
bin101000101110…
…1111000110010
31111012000001000
41101131320302
520431343312
62041422430
7346344426
oct121357062
944160030
1021356082
1111067160
12719aa16
134569747
142b9cb86
151d1cadc
hex145de32

21356082 has 64 divisors (see below), whose sum is σ = 52329600. Its totient is φ = 6402240.

The previous prime is 21356051. The next prime is 21356089. The reversal of 21356082 is 28065312.

21356082 is a `hidden beast` number, since 21 + 3 + 560 + 82 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21356089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93144 + ... + 93372.

It is an arithmetic number, because the mean of its divisors is an integer number (817650).

Almost surely, 221356082 is an apocalyptic number.

21356082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21356082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26164800).

21356082 is an abundant number, since it is smaller than the sum of its proper divisors (30973518).

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

21356082 is a wasteful number, since it uses less digits than its factorization.

21356082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 21356082 is about 4621.2641127726. The cubic root of 21356082 is about 277.4430562486.

The spelling of 21356082 in words is "twenty-one million, three hundred fifty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 229 297 314 458 471 594 687 942 1374 1413 1727 2061 2519 2826 3454 4122 4239 5038 5181 6183 7557 8478 10362 12366 15114 15543 22671 31086 35953 45342 46629 68013 71906 93258 107859 136026 215718 323577 395483 647154 790966 970731 1186449 1941462 2372898 3559347 7118694 10678041 21356082