Search a number
-
+
71332320 = 2535148609
BaseRepresentation
bin1000100000001…
…11000111100000
311222020001112210
410100013013200
5121230113240
611024522120
71524212643
oct420070740
9158201483
1071332320
11372a1034
121ba80340
1311a17097
14968ba5a
1563e0780
hex44071e0

71332320 has 48 divisors (see below), whose sum is σ = 224698320. Its totient is φ = 19021824.

The previous prime is 71332319. The next prime is 71332367. The reversal of 71332320 is 2323317.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73825 + ... + 74784.

It is an arithmetic number, because the mean of its divisors is an integer number (4681215).

Almost surely, 271332320 is an apocalyptic number.

It is an amenable number.

71332320 is an abundant number, since it is smaller than the sum of its proper divisors (153366000).

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

71332320 is a wasteful number, since it uses less digits than its factorization.

71332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148627 (or 148619 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 71332320 is about 8445.8463163854. The cubic root of 71332320 is about 414.7268149338.

Adding to 71332320 its reverse (2323317), we get a palindrome (73655637).

It can be divided in two parts, 7133 and 2320, that added together give a triangular number (9453 = T137).

The spelling of 71332320 in words is "seventy-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 148609 297218 445827 594436 743045 891654 1188872 1486090 1783308 2229135 2377744 2972180 3566616 4458270 4755488 5944360 7133232 8916540 11888720 14266464 17833080 23777440 35666160 71332320