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119248 = 2429257
BaseRepresentation
bin11101000111010000
320001120121
4131013100
512303443
62320024
71004443
oct350720
9201517
10119248
1181658
1259014
134237c
143165a
15254ed
hex1d1d0

119248 has 20 divisors (see below), whose sum is σ = 239940. Its totient is φ = 57344.

The previous prime is 119243. The next prime is 119267. The reversal of 119248 is 842911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 21904 = 312^2 + 148^2 .

Its product of digits (576) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (11997).

2119248 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 119248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119970).

119248 is an abundant number, since it is smaller than the sum of its proper divisors (120692).

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

119248 is a wasteful number, since it uses less digits than its factorization.

119248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 119248 is about 345.3230371695. The cubic root of 119248 is about 49.2209926500.

The spelling of 119248 in words is "one hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 1028 2056 4112 7453 14906 29812 59624 119248