Search a number
-
+
1682771112 = 233611171543
BaseRepresentation
bin110010001001101…
…0000110010101000
311100021102122000000
41210103100302220
511421242133422
6434551343000
756462214141
oct14423206250
94307378000
101682771112
11793975930
123ab681a60
1320a826569
1411d6bcac8
159caedcac
hex644d0ca8

1682771112 has 224 divisors, whose sum is σ = 5467798080. Its totient is φ = 479623680.

The previous prime is 1682771099. The next prime is 1682771117. The reversal of 1682771112 is 2111772861.

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

It is not an unprimeable number, because it can be changed into a prime (1682771117) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1089813 + ... + 1091355.

Almost surely, 21682771112 is an apocalyptic number.

1682771112 is a gapful number since it is divisible by the number (12) 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 1682771112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733899040).

1682771112 is an abundant number, since it is smaller than the sum of its proper divisors (3785026968).

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

1682771112 is a wasteful number, since it uses less digits than its factorization.

1682771112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1576 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The square root of 1682771112 is about 41021.5932406336. The cubic root of 1682771112 is about 1189.4376534670.

The spelling of 1682771112 in words is "one billion, six hundred eighty-two million, seven hundred seventy-one thousand, one hundred twelve".