Search a number
-
+
1682925580 = 225722297499
BaseRepresentation
bin110010001001111…
…0110100000001100
311100021201110220001
41210103312200030
511421312104310
6434554534044
756463426400
oct14423664014
94307643801
101682925580
11793a70996
123ab737324
1320a87b96b
1411d71d100
159cb2e93a
hex644f680c

1682925580 has 72 divisors (see below), whose sum is σ = 4129650000. Its totient is φ = 574406784.

The previous prime is 1682925539. The next prime is 1682925581. The reversal of 1682925580 is 855292861.

It is a self number, because there is not a number n which added to its sum of digits gives 1682925580.

It is not an unprimeable number, because it can be changed into a prime (1682925581) by changing a digit.

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, 220671 + ... + 228169.

It is an arithmetic number, because the mean of its divisors is an integer number (57356250).

Almost surely, 21682925580 is an apocalyptic number.

1682925580 is a gapful number since it is divisible by the number (10) 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 1682925580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064825000).

1682925580 is an abundant number, since it is smaller than the sum of its proper divisors (2446724420).

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

1682925580 is a wasteful number, since it uses less digits than its factorization.

1682925580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 1682925580 is about 41023.4759619416. The cubic root of 1682925580 is about 1189.4740466981.

The spelling of 1682925580 in words is "one billion, six hundred eighty-two million, nine hundred twenty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 916 980 1145 1603 2290 3206 4580 6412 7499 8015 11221 14998 16030 22442 29996 32060 37495 44884 52493 56105 74990 104986 112210 149980 209972 224420 262465 367451 524930 734902 1049860 1469804 1717271 1837255 3434542 3674510 6869084 7349020 8586355 12020897 17172710 24041794 34345420 48083588 60104485 84146279 120208970 168292558 240417940 336585116 420731395 841462790 1682925580