Search a number
-
+
71120104 = 23117311071
BaseRepresentation
bin1000011110100…
…11010011101000
311221211021102221
410033103103220
5121201320404
611020203424
71522340146
oct417232350
9157737387
1071120104
1137166650
121b999574
1311971603
149634596
15639c954
hex43d34e8

71120104 has 32 divisors (see below), whose sum is σ = 147479040. Its totient is φ = 31881600.

The previous prime is 71120099. The next prime is 71120111. The reversal of 71120104 is 40102117.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 11959.

It is an arithmetic number, because the mean of its divisors is an integer number (4608720).

Almost surely, 271120104 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 71120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73739520).

71120104 is an abundant number, since it is smaller than the sum of its proper divisors (76358936).

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

71120104 is a wasteful number, since it uses less digits than its factorization.

71120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 71120104 is about 8433.2736229770. The cubic root of 71120104 is about 414.3151310973.

The spelling of 71120104 in words is "seventy-one million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 6424 11071 22142 44284 88568 121781 243562 487124 808183 974248 1616366 3232732 6465464 8890013 17780026 35560052 71120104