Search a number
-
+
71044320 = 2535283523
BaseRepresentation
bin1000011110000…
…00110011100000
311221200102111010
410033000303200
5121141404240
611014420520
71521603204
oct417006340
9157612433
1071044320
1137114716
121b961740
1311945c79
149614b04
156385280
hex43c0ce0

71044320 has 96 divisors (see below), whose sum is σ = 225009792. Its totient is φ = 18842112.

The previous prime is 71044297. The next prime is 71044331. The reversal of 71044320 is 2344017.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 135579 + ... + 136101.

It is an arithmetic number, because the mean of its divisors is an integer number (2343852).

Almost surely, 271044320 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 71044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112504896).

71044320 is an abundant number, since it is smaller than the sum of its proper divisors (153965472).

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

71044320 is a wasteful number, since it uses less digits than its factorization.

71044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 71044320 is about 8428.7792710451. The cubic root of 71044320 is about 414.1679171346.

Adding to 71044320 its reverse (2344017), we get a palindrome (73388337).

The spelling of 71044320 in words is "seventy-one million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 283 480 523 566 849 1046 1132 1415 1569 1698 2092 2264 2615 2830 3138 3396 4184 4245 4528 5230 5660 6276 6792 7845 8368 8490 9056 10460 11320 12552 13584 15690 16736 16980 20920 22640 25104 27168 31380 33960 41840 45280 50208 62760 67920 83680 125520 135840 148009 251040 296018 444027 592036 740045 888054 1184072 1480090 1776108 2220135 2368144 2960180 3552216 4440270 4736288 5920360 7104432 8880540 11840720 14208864 17761080 23681440 35522160 71044320