Search a number
-
+
71199912 = 23372271867
BaseRepresentation
bin1000011111001…
…10110010101000
311221222022220210
410033212302220
5121211344122
611022021120
71523121630
oct417466250
9157868823
1071199912
1137210603
121ba177a0
131199ba34
1496556c0
1563b640c
hex43e6ca8

71199912 has 64 divisors (see below), whose sum is σ = 204433920. Its totient is φ = 20242368.

The previous prime is 71199899. The next prime is 71199913. The reversal of 71199912 is 21999117.

It is not an unprimeable number, because it can be changed into a prime (71199913) by changing a digit.

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, 37203 + ... + 39069.

It is an arithmetic number, because the mean of its divisors is an integer number (3194280).

Almost surely, 271199912 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 71199912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102216960).

71199912 is an abundant number, since it is smaller than the sum of its proper divisors (133234008).

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

71199912 is a wasteful number, since it uses less digits than its factorization.

71199912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its digits is 10206, while the sum is 39.

The square root of 71199912 is about 8438.0040293899. The cubic root of 71199912 is about 414.4700488563.

The spelling of 71199912 in words is "seventy-one million, one hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 454 681 908 1362 1589 1816 1867 2724 3178 3734 4767 5448 5601 6356 7468 9534 11202 12712 13069 14936 19068 22404 26138 38136 39207 44808 52276 78414 104552 156828 313656 423809 847618 1271427 1695236 2542854 2966663 3390472 5085708 5933326 8899989 10171416 11866652 17799978 23733304 35599956 71199912