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248820 = 2235111329
BaseRepresentation
bin111100101111110100
3110122022120
4330233310
530430240
65155540
72054265
oct745764
9418276
10248820
1115aa40
12bbbb0
1389340
146696c
154dad0
hex3cbf4

248820 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 53760.

The previous prime is 248813. The next prime is 248821. The reversal of 248820 is 28842.

It is a super-2 number, since 2×2488202 = 123822784800, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8566 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2248820 is an apocalyptic number.

248820 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 248820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

248820 is an abundant number, since it is smaller than the sum of its proper divisors (597900).

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

248820 is a wasteful number, since it uses less digits than its factorization.

248820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 248820 is about 498.8186043042. The cubic root of 248820 is about 62.8967823563.

The spelling of 248820 in words is "two hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 29 30 33 39 44 52 55 58 60 65 66 78 87 110 116 130 132 143 145 156 165 174 195 220 260 286 290 319 330 348 377 390 429 435 572 580 638 660 715 754 780 858 870 957 1131 1276 1430 1508 1595 1716 1740 1885 1914 2145 2262 2860 3190 3770 3828 4147 4290 4524 4785 5655 6380 7540 8294 8580 9570 11310 12441 16588 19140 20735 22620 24882 41470 49764 62205 82940 124410 248820