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1057860 = 22345653
BaseRepresentation
bin100000010010001000100
31222202010000
410002101010
5232322420
634401300
711664066
oct4022104
91882100
101057860
11662871
12430230
132b066b
141d7736
1515d690
hex102444

1057860 has 60 divisors (see below), whose sum is σ = 3323628. Its totient is φ = 281664.

The previous prime is 1057853. The next prime is 1057879. The reversal of 1057860 is 687501.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 746496 = 558^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10578602 = 2238135559200, 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 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 19 ways as a sum of consecutive naturals, for example, 1294 + ... + 1946.

21057860 is an apocalyptic number.

1057860 is a gapful number since it is divisible by the number (10) 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 1057860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661814).

1057860 is an abundant number, since it is smaller than the sum of its proper divisors (2265768).

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

1057860 is a wasteful number, since it uses less digits than its factorization.

1057860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1057860 is about 1028.5232131556. The cubic root of 1057860 is about 101.8926205611.

The spelling of 1057860 in words is "one million, fifty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 653 810 1306 1620 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 17631 19590 23508 29385 35262 39180 52893 58770 70524 88155 105786 117540 176310 211572 264465 352620 528930 1057860