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1052568 = 233311443
BaseRepresentation
bin100000000111110011000
31222110212000
410000332120
5232140233
634321000
711642466
oct4007630
91873760
101052568
116598a0
12429160
132ab12a
141d5836
1515bd13
hex100f98

1052568 has 64 divisors (see below), whose sum is σ = 3196800. Its totient is φ = 318240.

The previous prime is 1052567. The next prime is 1052573. The reversal of 1052568 is 8652501.

It is a super-2 number, since 2×10525682 = 2215798789248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

21052568 is an apocalyptic number.

1052568 is a gapful number since it is divisible by the number (18) 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 1052568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598400).

1052568 is an abundant number, since it is smaller than the sum of its proper divisors (2144232).

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

1052568 is a wasteful number, since it uses less digits than its factorization.

1052568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1052568 is about 1025.9473670710. The cubic root of 1052568 is about 101.7224287251.

The spelling of 1052568 in words is "one million, fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 443 594 792 886 1188 1329 1772 2376 2658 3544 3987 4873 5316 7974 9746 10632 11961 14619 15948 19492 23922 29238 31896 38984 43857 47844 58476 87714 95688 116952 131571 175428 263142 350856 526284 1052568