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71123104 = 25131789113
BaseRepresentation
bin1000011110101…
…00000010100000
311221211102120001
410033110002200
5121201414404
611020225344
71522351663
oct417240240
9157742501
1071123104
1137168928
121b99b254
1311972aa0
1496356da
15639d7a4
hex43d40a0

71123104 has 96 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 30277632.

The previous prime is 71123093. The next prime is 71123119. The reversal of 71123104 is 40132117.

It can be written as a sum of positive squares in 8 ways, for example, as 4210704 + 66912400 = 2052^2 + 8180^2 .

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, 629352 + ... + 629464.

Almost surely, 271123104 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 71123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

71123104 is an abundant number, since it is smaller than the sum of its proper divisors (91764656).

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

71123104 is a wasteful number, since it uses less digits than its factorization.

71123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 71123104 is about 8433.4514879734. The cubic root of 71123104 is about 414.3209565852.

The spelling of 71123104 in words is "seventy-one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 89 104 113 136 178 208 221 226 272 356 416 442 452 544 712 884 904 1157 1424 1469 1513 1768 1808 1921 2314 2848 2938 3026 3536 3616 3842 4628 5876 6052 7072 7684 9256 10057 11752 12104 15368 18512 19669 20114 23504 24208 24973 30736 37024 39338 40228 47008 48416 49946 61472 78676 80456 99892 130741 157352 160912 170969 199784 261482 314704 321824 341938 399568 522964 629408 683876 799136 1045928 1367752 2091856 2222597 2735504 4183712 4445194 5471008 8890388 17780776 35561552 71123104