Search a number
-
+
107776 = 28421
BaseRepresentation
bin11010010100000000
312110211201
4122110000
511422101
62150544
7626134
oct322400
9173751
10107776
1173a79
1252454
133a096
142b3c4
1521e01
hex1a500

107776 has 18 divisors (see below), whose sum is σ = 215642. Its totient is φ = 53760.

The previous prime is 107773. The next prime is 107777. The reversal of 107776 is 677701.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 50176 = 240^2 + 224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46 + ... + 466.

2107776 is an apocalyptic number.

107776 is a gapful number since it is divisible by the number (16) 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 107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107821).

107776 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107776 is an frugal number, since it uses more digits than its factorization.

107776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 107776 is about 328.2925524589. The cubic root of 107776 is about 47.5890848969.

The spelling of 107776 in words is "one hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 421 842 1684 3368 6736 13472 26944 53888 107776