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66550240 = 2551743569
BaseRepresentation
bin1111110111011…
…1100111100000
311122020002202201
43331313213200
5114014101430
610334222544
71435445011
oct375674740
9148202681
1066550240
11346251a9
121a354a54
1310a31553
148ba5008
155c988ca
hex3f779e0

66550240 has 96 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 24428544.

The previous prime is 66550219. The next prime is 66550241. The reversal of 66550240 is 4205566.

It is a junction number, because it is equal to n+sod(n) for n = 66550199 and 66550208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66550241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116676 + ... + 117244.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 266550240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322160).

66550240 is an abundant number, since it is smaller than the sum of its proper divisors (104094080).

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

66550240 is a wasteful number, since it uses less digits than its factorization.

66550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 66550240 is about 8157.8330456071. The cubic root of 66550240 is about 405.2439519945.

It can be divided in two parts, 665 and 50240, that added together give a palindrome (50905).

The spelling of 66550240 in words is "sixty-six million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 68 80 85 86 136 160 170 172 215 272 340 344 430 544 569 680 688 731 860 1138 1360 1376 1462 1720 2276 2720 2845 2924 3440 3655 4552 5690 5848 6880 7310 9104 9673 11380 11696 14620 18208 19346 22760 23392 24467 29240 38692 45520 48365 48934 58480 77384 91040 96730 97868 116960 122335 154768 193460 195736 244670 309536 386920 391472 415939 489340 773840 782944 831878 978680 1547680 1663756 1957360 2079695 3327512 3914720 4159390 6655024 8318780 13310048 16637560 33275120 66550240