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21745768 = 2311614051
BaseRepresentation
bin101001011110…
…1000001101000
31111220210120211
41102331001220
521031331033
62054030504
7352556512
oct122750150
944823524
1021745768
1111302a10
127348434
134674c25
142c60bb2
151d982cd
hex14bd068

21745768 has 32 divisors (see below), whose sum is σ = 45220320. Its totient is φ = 9720000.

The previous prime is 21745733. The next prime is 21745769. The reversal of 21745768 is 86754712.

It is a self number, because there is not a number n which added to its sum of digits gives 21745768.

It is not an unprimeable number, because it can be changed into a prime (21745769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3343 + ... + 7393.

It is an arithmetic number, because the mean of its divisors is an integer number (1413135).

Almost surely, 221745768 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 21745768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22610160).

21745768 is an abundant number, since it is smaller than the sum of its proper divisors (23474552).

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

21745768 is a wasteful number, since it uses less digits than its factorization.

21745768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4125 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 21745768 is about 4663.2357864470. The cubic root of 21745768 is about 279.1204029769.

The spelling of 21745768 in words is "twenty-one million, seven hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1342 2684 4051 5368 8102 16204 32408 44561 89122 178244 247111 356488 494222 988444 1976888 2718221 5436442 10872884 21745768