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16240768 = 27181701
BaseRepresentation
bin111101111101…
…000010000000
31010120010010221
4331331002000
513124201033
61340032424
7255021115
oct75750200
933503127
1016240768
119192a25
125532714
13349832b
14222a90c
15165c12d
hexf7d080

16240768 has 32 divisors (see below), whose sum is σ = 32579820. Its totient is φ = 8064000.

The previous prime is 16240751. The next prime is 16240769. The reversal of 16240768 is 86704261.

It can be written as a sum of positive squares in 2 ways, for example, as 15936064 + 304704 = 3992^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (16240769) 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 3 ways as a sum of consecutive naturals, for example, 22818 + ... + 23518.

Almost surely, 216240768 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 16240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289910).

16240768 is an abundant number, since it is smaller than the sum of its proper divisors (16339052).

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

16240768 is an equidigital number, since it uses as much as digits as its factorization.

16240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 16240768 is about 4029.9836227955. The cubic root of 16240768 is about 253.2418752654.

The spelling of 16240768 in words is "sixteen million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 362 701 724 1402 1448 2804 2896 5608 5792 11216 11584 22432 23168 44864 89728 126881 253762 507524 1015048 2030096 4060192 8120384 16240768