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240240 = 243571113
BaseRepresentation
bin111010101001110000
3110012112210
4322221300
530141430
65052120
72020260
oct725160
9405483
10240240
11154550
12b7040
1385470
14637a0
154b2b0
hex3aa70

240240 has 160 divisors (see below), whose sum is σ = 999936. Its totient is φ = 46080.

The previous prime is 240209. The next prime is 240257. The reversal of 240240 is 42042.

240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

240240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18474 + ... + 18486.

2240240 is an apocalyptic number.

240240 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 240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

240240 is an abundant number, since it is smaller than the sum of its proper divisors (759696).

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

240240 is a wasteful number, since it uses less digits than its factorization.

240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240240 is about 490.1428363243. The cubic root of 240240 is about 62.1653581013.

Adding to 240240 its reverse (42042), we get a palindrome (282282).

It can be divided in two parts, 2402 and 40, that added together give a palindrome (2442).

The spelling of 240240 in words is "two hundred forty thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 33 35 39 40 42 44 48 52 55 56 60 65 66 70 77 78 80 84 88 91 104 105 110 112 120 130 132 140 143 154 156 165 168 176 182 195 208 210 220 231 240 260 264 273 280 286 308 312 330 336 364 385 390 420 429 440 455 462 520 528 546 560 572 616 624 660 715 728 770 780 840 858 880 910 924 1001 1040 1092 1144 1155 1232 1320 1365 1430 1456 1540 1560 1680 1716 1820 1848 2002 2145 2184 2288 2310 2640 2730 2860 3003 3080 3120 3432 3640 3696 4004 4290 4368 4620 5005 5460 5720 6006 6160 6864 7280 8008 8580 9240 10010 10920 11440 12012 15015 16016 17160 18480 20020 21840 24024 30030 34320 40040 48048 60060 80080 120120 240240