Search a number
-
+
71711730 = 23851093
BaseRepresentation
bin1000100011000…
…11101111110010
311222221100000000
410101203233302
5121324233410
611041010430
71530353046
oct421435762
9158840000
1071711730
11375300a2
1220023a16
1311b1a99c
14974a026
156467dc0
hex4463bf2

71711730 has 72 divisors (see below), whose sum is σ = 193788972. Its totient is φ = 19105632.

The previous prime is 71711701. The next prime is 71711737. The reversal of 71711730 is 3711717.

It can be written as a sum of positive squares in 2 ways, for example, as 66928761 + 4782969 = 8181^2 + 2187^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 71711694 and 71711703.

It is not an unprimeable number, because it can be changed into a prime (71711737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65064 + ... + 66156.

Almost surely, 271711730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71711730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96894486).

71711730 is an abundant number, since it is smaller than the sum of its proper divisors (122077242).

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

71711730 is an equidigital number, since it uses as much as digits as its factorization.

71711730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 71711730 is about 8468.2778650680. The cubic root of 71711730 is about 415.4608129447.

The spelling of 71711730 in words is "seventy-one million, seven hundred eleven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1093 1215 1458 2186 2187 2430 3279 3645 4374 5465 6558 6561 7290 9837 10930 10935 13122 16395 19674 21870 29511 32790 32805 49185 59022 65610 88533 98370 147555 177066 265599 295110 442665 531198 796797 885330 1327995 1593594 2390391 2655990 3983985 4780782 7171173 7967970 11951955 14342346 23903910 35855865 71711730