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1057806 = 233191031
BaseRepresentation
bin100000010010000001110
31222202001000
410002100032
5232322211
634401130
711663661
oct4022016
91882030
101057806
11662822
124301a6
132b0629
141d76d8
1515d656
hex10240e

1057806 has 32 divisors (see below), whose sum is σ = 2476800. Its totient is φ = 333720.

The previous prime is 1057781. The next prime is 1057807. The reversal of 1057806 is 6087501.

It is a super-2 number, since 2×10578062 = 2237907067272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1057806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057807) 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, 511 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (77400).

21057806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238400).

1057806 is an abundant number, since it is smaller than the sum of its proper divisors (1418994).

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

1057806 is a wasteful number, since it uses less digits than its factorization.

1057806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

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

The square root of 1057806 is about 1028.4969615901. The cubic root of 1057806 is about 101.8908867793.

The spelling of 1057806 in words is "one million, fifty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1031 2062 3093 6186 9279 18558 19589 27837 39178 55674 58767 117534 176301 352602 528903 1057806