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66020250 = 23531941113
BaseRepresentation
bin1111101111011…
…0001110011010
311121020011202110
43323312032122
5113400122000
610315013150
71431106602
oct373661632
9147204673
1066020250
11342a2a9a
121a13a1b6
13108a724a
148aa7c02
155be1850
hex3ef639a

66020250 has 128 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 16128000.

The previous prime is 66020243. The next prime is 66020287. The reversal of 66020250 is 5202066.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 584194 + ... + 584306.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 266020250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66020250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

66020250 is an abundant number, since it is smaller than the sum of its proper divisors (113242470).

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

66020250 is a wasteful number, since it uses less digits than its factorization.

66020250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 66020250 is about 8125.2846103998. The cubic root of 66020250 is about 404.1653286998.

It can be divided in two parts, 660 and 20250, that added together give a triangular number (20910 = T204).

The spelling of 66020250 in words is "sixty-six million, twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 41 50 57 75 82 95 113 114 123 125 150 190 205 226 246 250 285 339 375 410 475 565 570 615 678 750 779 950 1025 1130 1230 1425 1558 1695 2050 2147 2337 2375 2825 2850 3075 3390 3895 4294 4633 4674 4750 5125 5650 6150 6441 7125 7790 8475 9266 10250 10735 11685 12882 13899 14125 14250 15375 16950 19475 21470 23165 23370 27798 28250 30750 32205 38950 42375 46330 53675 58425 64410 69495 84750 88027 97375 107350 115825 116850 138990 161025 176054 194750 231650 264081 268375 292125 322050 347475 440135 528162 536750 579125 584250 694950 805125 880270 1158250 1320405 1610250 1737375 2200675 2640810 3474750 4401350 6602025 11003375 13204050 22006750 33010125 66020250