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21768336 = 2432151169
BaseRepresentation
bin101001100001…
…0100010010000
31111221221112200
41103002202100
521033041321
62054323200
7353012352
oct123024220
944857480
1021768336
1111318967
127359500
134682295
142c690d2
151d9ed26
hex14c2890

21768336 has 30 divisors (see below), whose sum is σ = 60921510. Its totient is φ = 7256064.

The previous prime is 21768323. The next prime is 21768337. The reversal of 21768336 is 63386712.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21678336 + 90000 = 4656^2 + 300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21768336.

It is not an unprimeable number, because it can be changed into a prime (21768337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75441 + ... + 75728.

It is an arithmetic number, because the mean of its divisors is an integer number (2030717).

Almost surely, 221768336 is an apocalyptic number.

It is an amenable number.

21768336 is an abundant number, since it is smaller than the sum of its proper divisors (39153174).

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

21768336 is a wasteful number, since it uses less digits than its factorization.

21768336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151183 (or 151174 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21768336 is about 4665.6549379482. The cubic root of 21768336 is about 279.2169276798.

The spelling of 21768336 in words is "twenty-one million, seven hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151169 302338 453507 604676 907014 1209352 1360521 1814028 2418704 2721042 3628056 5442084 7256112 10884168 21768336