Search a number
-
+
71193260 = 22529131937
BaseRepresentation
bin1000011111001…
…01001010101100
311221221222210102
410033211022230
5121211141020
611021530232
71523063345
oct417451254
9157858712
1071193260
1137206606
121ba13978
13119989b8
1496530cc
1563b4475
hex43e52ac

71193260 has 48 divisors (see below), whose sum is σ = 156008160. Its totient is φ = 27256320.

The previous prime is 71193259. The next prime is 71193293. The reversal of 71193260 is 6239117.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 75512 + ... + 76448.

It is an arithmetic number, because the mean of its divisors is an integer number (3250170).

Almost surely, 271193260 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 71193260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78004080).

71193260 is an abundant number, since it is smaller than the sum of its proper divisors (84814900).

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

71193260 is a wasteful number, since it uses less digits than its factorization.

71193260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 71193260 is about 8437.6098511368. The cubic root of 71193260 is about 414.4571408786.

The spelling of 71193260 in words is "seventy-one million, one hundred ninety-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 262 290 524 580 655 937 1310 1874 2620 3748 3799 4685 7598 9370 15196 18740 18995 27173 37990 54346 75980 108692 122747 135865 245494 271730 490988 543460 613735 1227470 2454940 3559663 7119326 14238652 17798315 35596630 71193260