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710112 = 25313569
BaseRepresentation
bin10101101010111100000
31100002002110
42231113200
5140210422
623115320
76015204
oct2552740
91302073
10710112
11445577
122a2b40
131bb2b0
14146b04
15e060c
hexad5e0

710112 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 218112.

The previous prime is 710089. The next prime is 710119. The reversal of 710112 is 211017.

710112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (710119) by changing a digit.

710112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2710112 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 710112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

710112 is an abundant number, since it is smaller than the sum of its proper divisors (1300848).

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

710112 is a wasteful number, since it uses less digits than its factorization.

710112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 710112 is about 842.6814344698. The cubic root of 710112 is about 89.2159047162.

Adding to 710112 its reverse (211017), we get a palindrome (921129).

The spelling of 710112 in words is "seven hundred ten thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 569 624 1138 1248 1707 2276 3414 4552 6828 7397 9104 13656 14794 18208 22191 27312 29588 44382 54624 59176 88764 118352 177528 236704 355056 710112