Search a number
-
+
710109312 = 273112172931
BaseRepresentation
bin101010010100110…
…110100010000000
31211111012021211220
4222110312202000
52423241444222
6154244035040
723411554353
oct5224664200
91744167756
10710109312
11334924700
12179992a80
13b416b933
146a44a29a
154251cb5c
hex2a536880

710109312 has 384 divisors, whose sum is σ = 2344204800. Its totient is φ = 189235200.

The previous prime is 710109307. The next prime is 710109331. The reversal of 710109312 is 213901017.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7101093122 = 1008510469978226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22906737 + ... + 22906767.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2710109312 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 710109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

710109312 is an abundant number, since it is smaller than the sum of its proper divisors (1634095488).

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

710109312 is a wasteful number, since it uses less digits than its factorization.

710109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 710109312 is about 26647.8763131323. The cubic root of 710109312 is about 892.1579214588.

The spelling of 710109312 in words is "seven hundred ten million, one hundred nine thousand, three hundred twelve".