Search a number
-
+
71324604 = 223313371373
BaseRepresentation
bin1000100000001…
…01001110111100
311222012122222000
410100011032330
5121224341404
611024422300
71524151311
oct420051674
9158178860
1071324604
113729625a
121ba77990
1311a13710
149688d08
1563dd339
hex44053bc

71324604 has 96 divisors (see below), whose sum is σ = 204671040. Its totient is φ = 21337344.

The previous prime is 71324599. The next prime is 71324611. The reversal of 71324604 is 40642317.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51262 + ... + 52634.

It is an arithmetic number, because the mean of its divisors is an integer number (2131990).

Almost surely, 271324604 is an apocalyptic number.

71324604 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71324604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102335520).

71324604 is an abundant number, since it is smaller than the sum of its proper divisors (133346436).

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

71324604 is a wasteful number, since it uses less digits than its factorization.

71324604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 71324604 is about 8445.3895114435. The cubic root of 71324604 is about 414.7118607612.

The spelling of 71324604 in words is "seventy-one million, three hundred twenty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1373 1404 1443 1924 1998 2746 2886 3996 4119 4329 5492 5772 8238 8658 12357 12987 16476 17316 17849 24714 25974 35698 37071 49428 50801 51948 53547 71396 74142 101602 107094 148284 152403 160641 203204 214188 304806 321282 457209 481923 609612 642564 660413 914418 963846 1320826 1371627 1828836 1927692 1981239 2641652 2743254 3962478 5486508 5943717 7924956 11887434 17831151 23774868 35662302 71324604