Search a number
-
+
710040 = 23356197
BaseRepresentation
bin10101101010110011000
31100001222210
42231112120
5140210130
623115120
76015042
oct2552630
91301883
10710040
11445511
122a2aa0
131bb256
14146a92
15e05b0
hexad598

710040 has 64 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 184320.

The previous prime is 710027. The next prime is 710051. The reversal of 710040 is 40017.

710040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 709998 and 710025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7272 + ... + 7368.

2710040 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 710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

710040 is an abundant number, since it is smaller than the sum of its proper divisors (1477320).

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

710040 is a wasteful number, since it uses less digits than its factorization.

710040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 710040 is about 842.6387126165. The cubic root of 710040 is about 89.2128893411.

Adding to 710040 its reverse (40017), we get a palindrome (750057).

It can be divided in two parts, 7100 and 40, that added together give a triangular number (7140 = T119).

The spelling of 710040 in words is "seven hundred ten thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 97 120 122 183 194 244 291 305 366 388 485 488 582 610 732 776 915 970 1164 1220 1455 1464 1830 1940 2328 2440 2910 3660 3880 5820 5917 7320 11640 11834 17751 23668 29585 35502 47336 59170 71004 88755 118340 142008 177510 236680 355020 710040