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248040 = 233251353
BaseRepresentation
bin111100100011101000
3110121020200
4330203220
530414130
65152200
72052102
oct744350
9417220
10248040
1115a3a1
12bb660
1388b90
1466572
154d760
hex3c8e8

248040 has 96 divisors (see below), whose sum is σ = 884520. Its totient is φ = 59904.

The previous prime is 248033. The next prime is 248041. The reversal of 248040 is 40842.

It is a happy number.

248040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 66564 = 426^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654 + ... + 4706.

2248040 is an apocalyptic number.

248040 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 248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

248040 is an abundant number, since it is smaller than the sum of its proper divisors (636480).

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

248040 is a wasteful number, since it uses less digits than its factorization.

248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 248040 is about 498.0361432667. The cubic root of 248040 is about 62.8309906949.

Adding to 248040 its reverse (40842), we get a palindrome (288882).

The spelling of 248040 in words is "two hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 53 60 65 72 78 90 104 106 117 120 130 156 159 180 195 212 234 260 265 312 318 360 390 424 468 477 520 530 585 636 689 780 795 936 954 1060 1170 1272 1378 1560 1590 1908 2067 2120 2340 2385 2756 3180 3445 3816 4134 4680 4770 5512 6201 6360 6890 8268 9540 10335 12402 13780 16536 19080 20670 24804 27560 31005 41340 49608 62010 82680 124020 248040