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705012 = 2237211109
BaseRepresentation
bin10101100000111110100
31022211002120
42230013310
5140030022
623035540
75664300
oct2540764
91284076
10705012
11441760
1229bbb0
131b8b89
14144d00
15ddd5c
hexac1f4

705012 has 72 divisors (see below), whose sum is σ = 2106720. Its totient is φ = 181440.

The previous prime is 705011. The next prime is 705013. The reversal of 705012 is 210507.

It is a happy number.

705012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (705011) and next prime (705013).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 704982 and 705000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6414 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (29260).

2705012 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 705012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053360).

705012 is an abundant number, since it is smaller than the sum of its proper divisors (1401708).

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

705012 is a wasteful number, since it uses less digits than its factorization.

705012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 705012 is about 839.6499270529. The cubic root of 705012 is about 89.0018094990.

Adding to 705012 its reverse (210507), we get a palindrome (915519).

The spelling of 705012 in words is "seven hundred five thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 109 132 147 154 196 218 231 294 308 327 436 462 539 588 654 763 924 1078 1199 1308 1526 1617 2156 2289 2398 3052 3234 3597 4578 4796 5341 6468 7194 8393 9156 10682 14388 16023 16786 21364 25179 32046 33572 50358 58751 64092 100716 117502 176253 235004 352506 705012