Search a number
-
+
66011250 = 235429607
BaseRepresentation
bin1111101111010…
…0000001110010
311121012201102010
43323310001302
5113344330000
610314503350
71431041424
oct373640162
9147181363
1066011250
1134297258
121a134b56
13108a3116
148aa4814
155bddd50
hex3ef4072

66011250 has 80 divisors (see below), whose sum is σ = 170945280. Its totient is φ = 16968000.

The previous prime is 66011249. The next prime is 66011261. The reversal of 66011250 is 5211066.

It is a happy number.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108447 + ... + 109053.

It is an arithmetic number, because the mean of its divisors is an integer number (2136816).

Almost surely, 266011250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66011250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85472640).

66011250 is an abundant number, since it is smaller than the sum of its proper divisors (104934030).

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

66011250 is a wasteful number, since it uses less digits than its factorization.

66011250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 66011250 is about 8124.7307647700. The cubic root of 66011250 is about 404.1469623487.

The spelling of 66011250 in words is "sixty-six million, eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 607 625 725 750 870 1214 1250 1450 1821 1875 2175 3035 3625 3642 3750 4350 6070 7250 9105 10875 15175 17603 18125 18210 21750 30350 35206 36250 45525 52809 54375 75875 88015 91050 105618 108750 151750 176030 227625 264045 379375 440075 455250 528090 758750 880150 1138125 1320225 2200375 2276250 2640450 4400750 6601125 11001875 13202250 22003750 33005625 66011250