Search a number
-
+
66060252 = 22331135413
BaseRepresentation
bin1111101111111…
…1111111011100
311121022012122000
43323333333130
5113402412002
610315522300
71431334326
oct373777734
9147265560
1066060252
1134320055
121a159390
13108bc50b
148ab8616
155bed61c
hex3efffdc

66060252 has 48 divisors (see below), whose sum is σ = 172814880. Its totient is φ = 21821184.

The previous prime is 66060229. The next prime is 66060257. The reversal of 66060252 is 25206066.

66060252 is a `hidden beast` number, since 6 + 6 + 0 + 602 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66060257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9498 + ... + 14910.

It is an arithmetic number, because the mean of its divisors is an integer number (3600310).

Almost surely, 266060252 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 66060252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86407440).

66060252 is an abundant number, since it is smaller than the sum of its proper divisors (106754628).

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

66060252 is a wasteful number, since it uses less digits than its factorization.

66060252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66060252 is about 8127.7458129545. The cubic root of 66060252 is about 404.2469408176.

The spelling of 66060252 in words is "sixty-six million, sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 5413 6102 10826 12204 16239 21652 32478 48717 64956 97434 146151 194868 292302 584604 611669 1223338 1835007 2446676 3670014 5505021 7340028 11010042 16515063 22020084 33030126 66060252