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6561240 = 2335773107
BaseRepresentation
bin11001000001110111011000
3110100100022220
4121001313120
53134424430
6352344040
7106524660
oct31016730
913310286
106561240
113781614
122245020
1314895ba
14c2b1a0
15899110
hex641dd8

6561240 has 128 divisors (see below), whose sum is σ = 23016960. Its totient is φ = 1465344.

The previous prime is 6561223. The next prime is 6561259. The reversal of 6561240 is 421656.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6561240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61267 + ... + 61373.

It is an arithmetic number, because the mean of its divisors is an integer number (179820).

Almost surely, 26561240 is an apocalyptic number.

6561240 is a gapful number since it is divisible by the number (60) 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 6561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508480).

6561240 is an abundant number, since it is smaller than the sum of its proper divisors (16455720).

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

6561240 is a wasteful number, since it uses less digits than its factorization.

6561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6561240 is about 2561.4917528659. The cubic root of 6561240 is about 187.2098267177.

Adding to 6561240 its reverse (421656), we get a palindrome (6982896).

The spelling of 6561240 in words is "six million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 107 120 140 146 168 210 214 219 280 292 321 365 420 428 438 511 535 584 642 730 749 840 856 876 1022 1070 1095 1284 1460 1498 1533 1605 1752 2044 2140 2190 2247 2555 2568 2920 2996 3066 3210 3745 4088 4280 4380 4494 5110 5992 6132 6420 7490 7665 7811 8760 8988 10220 11235 12264 12840 14980 15330 15622 17976 20440 22470 23433 29960 30660 31244 39055 44940 46866 54677 61320 62488 78110 89880 93732 109354 117165 156220 164031 187464 218708 234330 273385 312440 328062 437416 468660 546770 656124 820155 937320 1093540 1312248 1640310 2187080 3280620 6561240