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119424 = 273311
BaseRepresentation
bin11101001010000000
320001211010
4131022000
512310144
62320520
71005114
oct351200
9201733
10119424
11817a8
1259140
1342486
1431744
15255b9
hex1d280

119424 has 32 divisors (see below), whose sum is σ = 318240. Its totient is φ = 39680.

The previous prime is 119419. The next prime is 119429. The reversal of 119424 is 424911.

It is an interprime number because it is at equal distance from previous prime (119419) and next prime (119429).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 119424.

It is not an unprimeable number, because it can be changed into a prime (119429) by changing a digit.

119424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

2119424 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 119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

119424 is an abundant number, since it is smaller than the sum of its proper divisors (198816).

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

119424 is an equidigital number, since it uses as much as digits as its factorization.

119424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 119424 is about 345.5777770633. The cubic root of 119424 is about 49.2451960924.

The spelling of 119424 in words is "one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 59712 119424