Search a number
-
+
1681611500 = 225315122273
BaseRepresentation
bin110010000111011…
…0101101011101100
311100012020201022102
41210032311223230
511420443032000
6434510434232
756446314302
oct14416655354
94305221272
101681611500
11793253678
123ab202978
1320a50b7ba
1411d49a272
159c9703d5
hex643b5aec

1681611500 has 48 divisors (see below), whose sum is σ = 3697127616. Its totient is φ = 668160000.

The previous prime is 1681611469. The next prime is 1681611517. The reversal of 1681611500 is 51161861.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64364 + ... + 86636.

It is an arithmetic number, because the mean of its divisors is an integer number (77023492).

Almost surely, 21681611500 is an apocalyptic number.

1681611500 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 1681611500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848563808).

1681611500 is an abundant number, since it is smaller than the sum of its proper divisors (2015516116).

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

1681611500 is a wasteful number, since it uses less digits than its factorization.

1681611500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22443 (or 22431 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 1681611500 is about 41007.4566390065. The cubic root of 1681611500 is about 1189.1643734561.

The spelling of 1681611500 in words is "one billion, six hundred eighty-one million, six hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 302 500 604 755 1510 3020 3775 7550 15100 18875 22273 37750 44546 75500 89092 111365 222730 445460 556825 1113650 2227300 2784125 3363223 5568250 6726446 11136500 13452892 16816115 33632230 67264460 84080575 168161150 336322300 420402875 840805750 1681611500