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1052064 = 253213281
BaseRepresentation
bin100000000110110100000
31222110011100
410000312200
5232131224
634314400
711641146
oct4006640
91873140
101052064
11659482
12428a00
132aab30
141d5596
1515bac9
hex100da0

1052064 has 72 divisors (see below), whose sum is σ = 3233412. Its totient is φ = 322560.

The previous prime is 1052063. The next prime is 1052083. The reversal of 1052064 is 4602501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 11664 = 1020^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10520642 = 2213677320192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3604 + ... + 3884.

21052064 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 1052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616706).

1052064 is an abundant number, since it is smaller than the sum of its proper divisors (2181348).

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

1052064 is a wasteful number, since it uses less digits than its factorization.

1052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1052064 is about 1025.7017110252. The cubic root of 1052064 is about 101.7061902527.

Adding to 1052064 its reverse (4602501), we get a palindrome (5654565).

The spelling of 1052064 in words is "one million, fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 281 288 312 416 468 562 624 843 936 1124 1248 1686 1872 2248 2529 3372 3653 3744 4496 5058 6744 7306 8992 10116 10959 13488 14612 20232 21918 26976 29224 32877 40464 43836 58448 65754 80928 87672 116896 131508 175344 263016 350688 526032 1052064