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1065064 = 2372111319
BaseRepresentation
bin100000100000001101000
32000002222211
410010001220
5233040224
634454504
712024100
oct4040150
92002884
101065064
11668220
12434434
132b3a20
141da200
15160894
hex104068

1065064 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 362880.

The previous prime is 1065059. The next prime is 1065073. The reversal of 1065064 is 4605601.

1065064 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×10650642 = 2268722648192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56047 + ... + 56065.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

21065064 is an apocalyptic number.

1065064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1065064 is an abundant number, since it is smaller than the sum of its proper divisors (1807736).

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

1065064 is a wasteful number, since it uses less digits than its factorization.

1065064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1065064 is about 1032.0193796630. The cubic root of 1065064 is about 102.1233928945.

The spelling of 1065064 in words is "one million, sixty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 19 22 26 28 38 44 49 52 56 76 77 88 91 98 104 133 143 152 154 182 196 209 247 266 286 308 364 392 418 494 532 539 572 616 637 728 836 931 988 1001 1064 1078 1144 1274 1463 1672 1729 1862 1976 2002 2156 2548 2717 2926 3458 3724 4004 4312 5096 5434 5852 6916 7007 7448 8008 10241 10868 11704 12103 13832 14014 19019 20482 21736 24206 28028 38038 40964 48412 56056 76076 81928 96824 133133 152152 266266 532532 1065064