Search a number
-
+
720725382 = 232138934607
BaseRepresentation
bin101010111101010…
…110010110000110
31212020011122100200
4222331112112012
52434001203012
6155303351330
723601031116
oct5275262606
91766148320
10720725382
1133a915713
12181452546
13b6417a30
146ba11046
15434183dc
hex2af56586

720725382 has 48 divisors (see below), whose sum is σ = 1700637120. Its totient is φ = 219263616.

The previous prime is 720725377. The next prime is 720725393. The reversal of 720725382 is 283527027.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3523 + ... + 38129.

It is an arithmetic number, because the mean of its divisors is an integer number (35429940).

Almost surely, 2720725382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720725382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850318560).

720725382 is an abundant number, since it is smaller than the sum of its proper divisors (979911738).

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

720725382 is a wasteful number, since it uses less digits than its factorization.

720725382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34717 (or 34714 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 720725382 is about 26846.3290227919. The cubic root of 720725382 is about 896.5818418366.

It can be divided in two parts, 720 and 725382, that multiplied together give a triangular number (522275040 = T32319).

The spelling of 720725382 in words is "seven hundred twenty million, seven hundred twenty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 20826 34607 69214 103821 207642 311463 449891 622926 899782 1349673 2699346 3080023 4049019 6160046 8098038 9240069 18480138 27720207 40040299 55440414 80080598 120120897 240241794 360362691 720725382