Search a number
-
+
71310312 = 23325211901
BaseRepresentation
bin1000100000000…
…01101111101000
311222011221100200
410100001233220
5121223412222
611024232200
71524061533
oct420015750
9158157320
1071310312
1137286547
121ba6b660
1311a0a068
149683a1a
1563d8eac
hex4401be8

71310312 has 48 divisors (see below), whose sum is σ = 193604580. Its totient is φ = 23712000.

The previous prime is 71310301. The next prime is 71310319. The reversal of 71310312 is 21301317.

It can be written as a sum of positive squares in 2 ways, for example, as 62631396 + 8678916 = 7914^2 + 2946^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71310319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36562 + ... + 38462.

Almost surely, 271310312 is an apocalyptic number.

71310312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71310312 is an abundant number, since it is smaller than the sum of its proper divisors (122294268).

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

71310312 is a wasteful number, since it uses less digits than its factorization.

71310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 71310312 is about 8444.5433269064. The cubic root of 71310312 is about 414.6841589700.

Adding to 71310312 its reverse (21301317), we get a palindrome (92611629).

It can be divided in two parts, 713 and 10312, that added together give a square (11025 = 1052).

The spelling of 71310312 in words is "seventy-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 521 1042 1563 1901 2084 3126 3802 4168 4689 5703 6252 7604 9378 11406 12504 15208 17109 18756 22812 34218 37512 45624 68436 136872 990421 1980842 2971263 3961684 5942526 7923368 8913789 11885052 17827578 23770104 35655156 71310312