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1016064 = 283472
BaseRepresentation
bin11111000000100000000
31220121210000
43320010000
5230003224
633440000
711431200
oct3700400
91817700
101016064
11634425
12410000
1329762a
141c6400
151510c9
hexf8100

1016064 has 135 divisors (see below), whose sum is σ = 3524367. Its totient is φ = 290304.

The previous prime is 1016053. The next prime is 1016069. The reversal of 1016064 is 4606101.

The square root of 1016064 is 1008.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1016069) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 145149 + ... + 145155.

21016064 is an apocalyptic number.

1016064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1016064 is the 1008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016064

1016064 is an abundant number, since it is smaller than the sum of its proper divisors (2508303).

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

1016064 is an frugal number, since it uses more digits than its factorization.

1016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1016064 is about 100.5326247389.

Multiplying 1016064 by its product of nonzero digits (144), we get a square (146313216 = 120962).

1016064 divided by its product of nonzero digits (144) gives a square (7056 = 842).

The spelling of 1016064 in words is "one million, sixteen thousand, sixty-four".