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239120 = 2457261
BaseRepresentation
bin111010011000010000
3110011000022
4322120100
530122440
65043012
72014100
oct723020
9404008
10239120
11153722
12b6468
1384abb
1463200
154acb5
hex3a610

239120 has 60 divisors (see below), whose sum is σ = 657324. Its totient is φ = 80640.

The previous prime is 239119. The next prime is 239137. The reversal of 239120 is 21932.

It is a Cunningham number, because it is equal to 4892-1.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 200704 = 196^2 + 448^2 .

It is a nialpdrome in base 14.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3890 + ... + 3950.

2239120 is an apocalyptic number.

239120 is a gapful number since it is divisible by the number (20) 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 239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328662).

239120 is an abundant number, since it is smaller than the sum of its proper divisors (418204).

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

239120 is a wasteful number, since it uses less digits than its factorization.

239120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 239120 is about 488.9989775040. The cubic root of 239120 is about 62.0686025238.

It can be divided in two parts, 239 and 120, that multiplied together give a triangular number (28680 = T239).

The spelling of 239120 in words is "two hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 61 70 80 98 112 122 140 196 244 245 280 305 392 427 488 490 560 610 784 854 976 980 1220 1708 1960 2135 2440 2989 3416 3920 4270 4880 5978 6832 8540 11956 14945 17080 23912 29890 34160 47824 59780 119560 239120