Search a number
-
+
71098960 = 245888737
BaseRepresentation
bin1000011110011…
…10001001010000
311221210012102211
410033032021100
5121200131320
611015521504
71522221412
oct417161120
9157705384
1071098960
1137151779
121b989294
1311964aba
14962a9b2
15639655a
hex43ce250

71098960 has 20 divisors (see below), whose sum is σ = 165305268. Its totient is φ = 28439552.

The previous prime is 71098949. The next prime is 71098967. The reversal of 71098960 is 6989017.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 50523664 = 4536^2 + 7108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×710989602 = 10110124226163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71098967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 444289 + ... + 444448.

Almost surely, 271098960 is an apocalyptic number.

It is an amenable number.

71098960 is an abundant number, since it is smaller than the sum of its proper divisors (94206308).

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

71098960 is a wasteful number, since it uses less digits than its factorization.

71098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888750 (or 888744 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 71098960 is about 8432.0199240751. The cubic root of 71098960 is about 414.2740684117.

The spelling of 71098960 in words is "seventy-one million, ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 888737 1777474 3554948 4443685 7109896 8887370 14219792 17774740 35549480 71098960