Search a number
-
+
119296 = 29233
BaseRepresentation
bin11101001000000000
320001122101
4131020000
512304141
62320144
71004542
oct351000
9201571
10119296
11816a1
1259054
13423b8
1431692
1525531
hex1d200

119296 has 20 divisors (see below), whose sum is σ = 239382. Its totient is φ = 59392.

The previous prime is 119293. The next prime is 119297. The reversal of 119296 is 692911.

It can be divided in two parts, 11929 and 6, that added together give a triangular number (11935 = T154).

It can be written as a sum of positive squares in only one way, i.e., 112896 + 6400 = 336^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (119291) 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, 396 + ... + 628.

2119296 is an apocalyptic number.

119296 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 119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119691).

119296 is an abundant number, since it is smaller than the sum of its proper divisors (120086).

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

119296 is an frugal number, since it uses more digits than its factorization.

119296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 972, while the sum is 28.

The square root of 119296 is about 345.3925303188. The cubic root of 119296 is about 49.2275959493.

The spelling of 119296 in words is "one hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1864 3728 7456 14912 29824 59648 119296