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21083964 = 22311211757
BaseRepresentation
bin101000001101…
…1011100111100
31110200011202120
41100123130330
520344141324
62031522540
7344132166
oct120333474
943604676
1021083964
11109a0770
127089450
1344a2925
142b2b936
151cb7179
hex141b73c

21083964 has 48 divisors (see below), whose sum is σ = 53993856. Its totient is φ = 6350400.

The previous prime is 21083941. The next prime is 21083989. The reversal of 21083964 is 46938012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27474 + ... + 28230.

It is an arithmetic number, because the mean of its divisors is an integer number (1124872).

Almost surely, 221083964 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 21083964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26996928).

21083964 is an abundant number, since it is smaller than the sum of its proper divisors (32909892).

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

21083964 is a wasteful number, since it uses less digits than its factorization.

21083964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21083964 is about 4591.7277793876. The cubic root of 21083964 is about 276.2596275727.

The spelling of 21083964 in words is "twenty-one million, eighty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 633 757 844 1266 1514 2271 2321 2532 3028 4542 4642 6963 8327 9084 9284 13926 16654 24981 27852 33308 49962 99924 159727 319454 479181 638908 958362 1756997 1916724 3513994 5270991 7027988 10541982 21083964