Search a number
-
+
681304572 = 2232132113991
BaseRepresentation
bin101000100110111…
…110000111111100
31202110222212011200
4220212332013330
52343403221242
6151334415500
722611664464
oct5046760774
91673885150
10681304572
1131a640233
12170201590
13ab1c4a00
14666acba4
153ec2d04c
hex289be1fc

681304572 has 108 divisors (see below), whose sum is σ = 1883254464. Its totient is φ = 207567360.

The previous prime is 681304571. The next prime is 681304607. The reversal of 681304572 is 275403186.

681304572 is a `hidden beast` number, since 6 + 81 + 3 + 0 + 4 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681304571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686997 + ... + 687987.

Almost surely, 2681304572 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 681304572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941627232).

681304572 is an abundant number, since it is smaller than the sum of its proper divisors (1201949892).

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

681304572 is a wasteful number, since it uses less digits than its factorization.

681304572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 681304572 is about 26101.8116612621. The cubic root of 681304572 is about 879.9279262597.

The spelling of 681304572 in words is "six hundred eighty-one million, three hundred four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 169 226 234 338 339 452 468 507 676 678 991 1014 1017 1356 1469 1521 1982 2028 2034 2938 2973 3042 3964 4068 4407 5876 5946 6084 8814 8919 11892 12883 13221 17628 17838 19097 25766 26442 35676 38194 38649 51532 52884 57291 76388 77298 111983 114582 115947 154596 167479 171873 223966 229164 231894 334958 335949 343746 447932 463788 502437 669916 671898 687492 1004874 1007847 1343796 1455779 1507311 2009748 2015694 2911558 3014622 4031388 4367337 5823116 6029244 8734674 13102011 17469348 18925127 26204022 37850254 52408044 56775381 75700508 113550762 170326143 227101524 340652286 681304572