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1076064 = 253111019
BaseRepresentation
bin100000110101101100000
32000200002020
410012231200
5233413224
635021440
712101133
oct4065540
92020066
101076064
11675510
1243a880
132b8a32
1420021a
15163c79
hex106b60

1076064 has 48 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 325760.

The previous prime is 1076063. The next prime is 1076069. The reversal of 1076064 is 4606701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21076064 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 1076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

1076064 is an abundant number, since it is smaller than the sum of its proper divisors (2008416).

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

1076064 is a wasteful number, since it uses less digits than its factorization.

1076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1076064 is about 1037.3350471280. The cubic root of 1076064 is about 102.4737668341.

The spelling of 1076064 in words is "one million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1019 1056 2038 3057 4076 6114 8152 11209 12228 16304 22418 24456 32608 33627 44836 48912 67254 89672 97824 134508 179344 269016 358688 538032 1076064