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616064 = 274813
BaseRepresentation
bin10010110011010000000
31011022002012
42112122000
5124203224
621112052
75144051
oct2263200
91138065
10616064
11390949
12258628
13187547
14120728
15c280e
hex96680

616064 has 16 divisors (see below), whose sum is σ = 1227570. Its totient is φ = 307968.

The previous prime is 616051. The next prime is 616069. The reversal of 616064 is 460616.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 153664 = 680^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 616064.

It is not an unprimeable number, because it can be changed into a prime (616069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2279 + ... + 2534.

2616064 is an apocalyptic number.

616064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

616064 is a deficient number, since it is larger than the sum of its proper divisors (611506).

616064 is an equidigital number, since it uses as much as digits as its factorization.

616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 616064 is about 784.8974455303. The cubic root of 616064 is about 85.0893639160.

The spelling of 616064 in words is "six hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 4813 9626 19252 38504 77008 154016 308032 616064