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5706126 = 23559199
BaseRepresentation
bin10101110001000110001110
3101201220100000
4111301012032
52430044001
6322145130
766333636
oct25610616
911656300
105706126
113248108
121ab21a6
13124a30a
14a876c6
1577aa86
hex57118e

5706126 has 48 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1860408.

The previous prime is 5706121. The next prime is 5706131. The reversal of 5706126 is 6216075.

It is an interprime number because it is at equal distance from previous prime (5706121) and next prime (5706131).

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 5706126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5706121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28575 + ... + 28773.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 25706126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5706126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

5706126 is an abundant number, since it is smaller than the sum of its proper divisors (7397874).

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

5706126 is a wasteful number, since it uses less digits than its factorization.

5706126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5706126 is about 2388.7498822606. The cubic root of 5706126 is about 178.6955698457.

It can be divided in two parts, 5706 and 126, that added together give a cube (5832 = 183).

The spelling of 5706126 in words is "five million, seven hundred six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 199 243 354 398 486 531 597 1062 1194 1593 1791 3186 3582 4779 5373 9558 10746 11741 14337 16119 23482 28674 32238 35223 48357 70446 96714 105669 211338 317007 634014 951021 1902042 2853063 5706126