Search a number
-
+
716332104 = 2332131173439
BaseRepresentation
bin101010101100100…
…101110001001000
31211220220102220200
4222230211301020
52431340111404
6155025252200
723515502535
oct5254456110
91756812820
10716332104
11338394a04
1217ba94060
13b553a167
146b1c9d8c
1542d4b839
hex2ab25c48

716332104 has 96 divisors (see below), whose sum is σ = 1970654400. Its totient is φ = 235048320.

The previous prime is 716332093. The next prime is 716332139. The reversal of 716332104 is 401233617.

716332104 is a `hidden beast` number, since 7 + 1 + 633 + 21 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1631517 + ... + 1631955.

It is an arithmetic number, because the mean of its divisors is an integer number (20527650).

Almost surely, 2716332104 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 716332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985327200).

716332104 is an abundant number, since it is smaller than the sum of its proper divisors (1254322296).

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

716332104 is a wasteful number, since it uses less digits than its factorization.

716332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 716332104 is about 26764.3812556913. The cubic root of 716332104 is about 894.7563828268.

It can be divided in two parts, 71633 and 2104, that added together give a palindrome (73737).

The spelling of 716332104 in words is "seven hundred sixteen million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 173 262 346 393 439 519 524 692 786 878 1038 1048 1179 1317 1384 1557 1572 1756 2076 2358 2634 3114 3144 3512 3951 4152 4716 5268 6228 7902 9432 10536 12456 15804 22663 31608 45326 57509 67989 75947 90652 115018 135978 151894 172527 181304 203967 227841 230036 271956 303788 345054 407934 455682 460072 517581 543912 607576 683523 690108 815868 911364 1035162 1367046 1380216 1631736 1822728 2070324 2734092 4140648 5468184 9949057 19898114 29847171 39796228 59694342 79592456 89541513 119388684 179083026 238777368 358166052 716332104