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21050064 = 243376961
BaseRepresentation
bin101000001001…
…1001011010000
31110121110021000
41100103023100
520342100224
62031102000
7343631310
oct120231320
943543230
1021050064
1110978252
127071900
134490379
142b1d440
151cac0c9
hex14132d0

21050064 has 80 divisors (see below), whose sum is σ = 69063040. Its totient is φ = 6013440.

The previous prime is 21050059. The next prime is 21050101. The reversal of 21050064 is 46005012.

It is a happy number.

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

It is a congruent number.

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, 457 + ... + 6504.

It is an arithmetic number, because the mean of its divisors is an integer number (863288).

Almost surely, 221050064 is an apocalyptic number.

21050064 is a gapful number since it is divisible by the number (24) 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 21050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34531520).

21050064 is an abundant number, since it is smaller than the sum of its proper divisors (48012976).

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

21050064 is a wasteful number, since it uses less digits than its factorization.

21050064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21050064 is about 4588.0348734507. The cubic root of 21050064 is about 276.1114861517. Note that the first 3 decimals are identical.

Adding to 21050064 its reverse (46005012), we get a palindrome (67055076).

The spelling of 21050064 in words is "twenty-one million, fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6961 13922 20883 27844 41766 48727 55688 62649 83532 97454 111376 125298 146181 167064 187947 194908 250596 292362 334128 375894 389816 438543 501192 584724 751788 779632 877086 1002384 1169448 1315629 1503576 1754172 2338896 2631258 3007152 3508344 5262516 7016688 10525032 21050064