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1071306 = 23417389
BaseRepresentation
bin100000101100011001010
32000102120000
410011203022
5233240211
634543430
712051225
oct4054312
92012500
101071306
11671985
12437b76
132b6812
141dc5bc
15162656
hex1058ca

1071306 has 40 divisors (see below), whose sum is σ = 2548260. Its totient is φ = 335232.

The previous prime is 1071283. The next prime is 1071311. The reversal of 1071306 is 6031701.

It can be written as a sum of positive squares in 2 ways, for example, as 1071225 + 81 = 1035^2 + 9^2 .

It is a super-2 number, since 2×10713062 = 2295393091272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2560 + ... + 2948.

21071306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274130).

1071306 is an abundant number, since it is smaller than the sum of its proper divisors (1476954).

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

1071306 is a wasteful number, since it uses less digits than its factorization.

1071306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1071306 is about 1035.0391296951. The cubic root of 1071306 is about 102.3225086134.

The spelling of 1071306 in words is "one million, seventy-one thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 389 459 778 918 1167 1377 2334 2754 3501 6613 7002 10503 13226 19839 21006 31509 39678 59517 63018 119034 178551 357102 535653 1071306