Search a number
-
+
248640 = 2635737
BaseRepresentation
bin111100101101000000
3110122001220
4330231000
530424030
65155040
72053620
oct745500
9418056
10248640
1115a897
12bba80
1389232
1466880
154da10
hex3cb40

248640 has 112 divisors (see below), whose sum is σ = 926592. Its totient is φ = 55296.

The previous prime is 248639. The next prime is 248641. The reversal of 248640 is 46842.

248640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248639) and next prime (248641).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 248640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6702 + ... + 6738.

2248640 is an apocalyptic number.

248640 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 248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

248640 is an abundant number, since it is smaller than the sum of its proper divisors (677952).

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

248640 is a wasteful number, since it uses less digits than its factorization.

248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 248640 is about 498.6381453519. The cubic root of 248640 is about 62.8816118824.

It can be divided in two parts, 248 and 640, that added together give a palindrome (888).

The spelling of 248640 in words is "two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 56 60 64 70 74 80 84 96 105 111 112 120 140 148 160 168 185 192 210 222 224 240 259 280 296 320 336 370 420 444 448 480 518 555 560 592 672 740 777 840 888 960 1036 1110 1120 1184 1295 1344 1480 1554 1680 1776 2072 2220 2240 2368 2590 2960 3108 3360 3552 3885 4144 4440 5180 5920 6216 6720 7104 7770 8288 8880 10360 11840 12432 15540 16576 17760 20720 24864 31080 35520 41440 49728 62160 82880 124320 248640