Search a number
-
+
66113500 = 2253235749
BaseRepresentation
bin1111110000110…
…0111111011100
311121101220200011
43330030333130
5113411113000
610321013004
71431645505
oct374147734
9147356604
1066113500
1134357062
121a184164
131090a81b
148acdbac
155c0e2ba
hex3f0cfdc

66113500 has 48 divisors (see below), whose sum is σ = 150696000. Its totient is φ = 25291200.

The previous prime is 66113497. The next prime is 66113503. The reversal of 66113500 is 531166.

It is an interprime number because it is at equal distance from previous prime (66113497) and next prime (66113503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113503) 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, 8626 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (3139500).

Almost surely, 266113500 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 66113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75348000).

66113500 is an abundant number, since it is smaller than the sum of its proper divisors (84582500).

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

66113500 is a wasteful number, since it uses less digits than its factorization.

66113500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 66113500 is about 8131.0208461177. The cubic root of 66113500 is about 404.3555263363.

Adding to 66113500 its reverse (531166), we get a palindrome (66644666).

It can be divided in two parts, 661 and 13500, that added together give a square (14161 = 1192).

The spelling of 66113500 in words is "sixty-six million, one hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 2300 2875 5749 5750 11498 11500 22996 28745 57490 114980 132227 143725 264454 287450 528908 574900 661135 718625 1322270 1437250 2644540 2874500 3305675 6611350 13222700 16528375 33056750 66113500