Search a number
-
+
66109950 = 232521071373
BaseRepresentation
bin1111110000110…
…0000111111110
311121101201210200
43330030013332
5113411004300
610320544330
71431632244
oct374140776
9147351720
1066109950
1134354425
121a1820a6
131090901a
148acc794
155c0d200
hex3f0c1fe

66109950 has 72 divisors (see below), whose sum is σ = 179405928. Its totient is φ = 17451840.

The previous prime is 66109943. The next prime is 66109951. The reversal of 66109950 is 5990166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66109951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47464 + ... + 48836.

It is an arithmetic number, because the mean of its divisors is an integer number (2491749).

Almost surely, 266109950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66109950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89702964).

66109950 is an abundant number, since it is smaller than the sum of its proper divisors (113295978).

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

66109950 is a wasteful number, since it uses less digits than its factorization.

66109950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 66109950 is about 8130.8025434148. The cubic root of 66109950 is about 404.3482888441.

The spelling of 66109950 in words is "sixty-six million, one hundred nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 321 450 535 642 963 1070 1373 1605 1926 2675 2746 3210 4119 4815 5350 6865 8025 8238 9630 12357 13730 16050 20595 24075 24714 34325 41190 48150 61785 68650 102975 123570 146911 205950 293822 308925 440733 617850 734555 881466 1322199 1469110 2203665 2644398 3672775 4407330 6610995 7345550 11018325 13221990 22036650 33054975 66109950