Search a number
-
+
66253180 = 2257538929
BaseRepresentation
bin1111110010111…
…1000101111100
311121200000021111
43330233011330
5113430100210
610324011404
71433066650
oct374570574
9147600244
1066253180
1134441aa4
121a230b64
1310959286
148b28a60
155c3a88a
hex3f2f17c

66253180 has 48 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 22284288.

The previous prime is 66253177. The next prime is 66253181. The reversal of 66253180 is 8135266.

It is a super-2 number, since 2×662531802 = 8778967720224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66253181) 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, 2956 + ... + 11884.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 266253180 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 66253180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

66253180 is an abundant number, since it is smaller than the sum of its proper divisors (95772740).

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

66253180 is a wasteful number, since it uses less digits than its factorization.

66253180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 66253180 is about 8139.6056415529. The cubic root of 66253180 is about 404.6400907626.

The spelling of 66253180 in words is "sixty-six million, two hundred fifty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 8929 17858 35716 44645 62503 89290 125006 178580 250012 312515 473237 625030 946474 1250060 1892948 2366185 3312659 4732370 6625318 9464740 13250636 16563295 33126590 66253180