Search a number
-
+
67218020 = 2253379973
BaseRepresentation
bin1000000000110…
…10101001100100
311200111000210022
410000122221210
5114201434040
610400414312
71444225622
oct400325144
9150430708
1067218020
1134a40991
121a617398
1310c0649c
148cda512
155d7b6b5
hex401aa64

67218020 has 24 divisors (see below), whose sum is σ = 141590904. Its totient is φ = 26804736.

The previous prime is 67217981. The next prime is 67218023. The reversal of 67218020 is 2081276.

67218020 = T65 + T66 + ... + T738.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 67207204 = 104^2 + 8198^2 .

It is not an unprimeable number, because it can be changed into a prime (67218023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1754 + ... + 11726.

It is an arithmetic number, because the mean of its divisors is an integer number (5899621).

Almost surely, 267218020 is an apocalyptic number.

It is an amenable number.

67218020 is an abundant number, since it is smaller than the sum of its proper divisors (74372884).

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

67218020 is a wasteful number, since it uses less digits than its factorization.

67218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 67218020 is about 8198.6596465520. The cubic root of 67218020 is about 406.5948796812.

Adding to 67218020 its reverse (2081276), we get a palindrome (69299296).

It can be divided in two parts, 6721 and 8020, that added together give a palindrome (14741).

The spelling of 67218020 in words is "sixty-seven million, two hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 9973 19946 39892 49865 99730 199460 3360901 6721802 13443604 16804505 33609010 67218020