Search a number
-
+
71983314 = 232132831087
BaseRepresentation
bin1000100101001…
…10000011010010
312000110010112200
410102212003102
5121411431224
611050504030
71532563614
oct422460322
9160403480
1071983314
11376a6147
1220135016
1311bb44a0
1497badb4
1564bd5c9
hex44a60d2

71983314 has 48 divisors (see below), whose sum is σ = 168709632. Its totient is φ = 22050144.

The previous prime is 71983313. The next prime is 71983319. The reversal of 71983314 is 41338917.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71983313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65679 + ... + 66765.

It is an arithmetic number, because the mean of its divisors is an integer number (3514784).

Almost surely, 271983314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71983314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84354816).

71983314 is an abundant number, since it is smaller than the sum of its proper divisors (96726318).

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

71983314 is a wasteful number, since it uses less digits than its factorization.

71983314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1388 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 71983314 is about 8484.2980852867. The cubic root of 71983314 is about 415.9846248324.

The spelling of 71983314 in words is "seventy-one million, nine hundred eighty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 283 566 849 1087 1698 2174 2547 3261 3679 5094 6522 7358 9783 11037 14131 19566 22074 28262 33111 42393 66222 84786 127179 254358 307621 615242 922863 1845726 2768589 3999073 5537178 7998146 11997219 23994438 35991657 71983314