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119328 = 25311113
BaseRepresentation
bin11101001000100000
320001200120
4131020200
512304303
62320240
71004616
oct351040
9201616
10119328
1181720
1259080
1342411
14316b6
1525553
hex1d220

119328 has 48 divisors (see below), whose sum is σ = 344736. Its totient is φ = 35840.

The previous prime is 119321. The next prime is 119359. The reversal of 119328 is 823911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 119298 and 119307.

It is not an unprimeable number, because it can be changed into a prime (119321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2119328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

119328 is an abundant number, since it is smaller than the sum of its proper divisors (225408).

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

119328 is a wasteful number, since it uses less digits than its factorization.

119328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 119328 is about 345.4388513181. The cubic root of 119328 is about 49.2319971649.

It can be divided in two parts, 1193 and 28, that added together give a palindrome (1221).

The spelling of 119328 in words is "one hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 39776 59664 119328