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21649005 = 335731739
BaseRepresentation
bin101001010010…
…1011001101101
31111201212212000
41102211121231
521020232010
62052002513
7352004430
oct122453155
944655760
1021649005
1111247244
127300439
13463cb81
142c37817
151d797c0
hex14a566d

21649005 has 64 divisors (see below), whose sum is σ = 45465600. Its totient is φ = 9564480.

The previous prime is 21648997. The next prime is 21649031. The reversal of 21649005 is 50094612.

It is not a de Polignac number, because 21649005 - 23 = 21648997 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21649005.

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 63 ways as a sum of consecutive naturals, for example, 28926 + ... + 29664.

It is an arithmetic number, because the mean of its divisors is an integer number (710400).

Almost surely, 221649005 is an apocalyptic number.

It is an amenable number.

21649005 is an abundant number, since it is smaller than the sum of its proper divisors (23816595).

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

21649005 is a wasteful number, since it uses less digits than its factorization.

21649005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 21649005 is about 4652.8491271478. The cubic root of 21649005 is about 278.7057830351.

The spelling of 21649005 in words is "twenty-one million, six hundred forty-nine thousand, five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 465 651 739 837 945 1085 1395 1953 2217 3255 3695 4185 5173 5859 6651 9765 11085 15519 19953 22909 25865 29295 33255 46557 68727 77595 99765 114545 139671 160363 206181 232785 343635 481089 618543 698355 801815 1030905 1443267 2405445 3092715 4329801 7216335 21649005