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66482240 = 26511217101
BaseRepresentation
bin1111110110011…
…1000001000000
311122002122111012
43331213001000
5114004412430
610332540052
71435042526
oct375470100
9148078435
1066482240
1134589100
121a321628
1310a09606
148b88316
155c83695
hex3f67040

66482240 has 168 divisors, whose sum is σ = 186071256. Its totient is φ = 22528000.

The previous prime is 66482237. The next prime is 66482249. The reversal of 66482240 is 4228466.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 34762816 = 5632^2 + 5896^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66482197 and 66482206.

It is not an unprimeable number, because it can be changed into a prime (66482249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658190 + ... + 658290.

It is an arithmetic number, because the mean of its divisors is an integer number (1107567).

Almost surely, 266482240 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 66482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93035628).

66482240 is an abundant number, since it is smaller than the sum of its proper divisors (119589016).

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

66482240 is a wasteful number, since it uses less digits than its factorization.

66482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 66482240 is about 8153.6642069685. The cubic root of 66482240 is about 405.1058809688.

It can be divided in two parts, 6648 and 2240, that added together give a palindrome (8888).

The spelling of 66482240 in words is "sixty-six million, four hundred eighty-two thousand, two hundred forty".