Search a number
-
+
666714240 = 273651429
BaseRepresentation
bin100111101111010…
…100000010000000
31201110112121000000
4213233110002000
52331134323430
6150054000000
722343656203
oct4757240200
91643477000
10666714240
11312385305
12167346000
13a818698a
146479193a
153d7e9e60
hex27bd4080

666714240 has 224 divisors, whose sum is σ = 2391374700. Its totient is φ = 177666048.

The previous prime is 666714239. The next prime is 666714247. The reversal of 666714240 is 42417666.

It can be written as a sum of positive squares in 2 ways, for example, as 595750464 + 70963776 = 24408^2 + 8424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 666714195 and 666714204.

It is not an unprimeable number, because it can be changed into a prime (666714247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 465846 + ... + 467274.

Almost surely, 2666714240 is an apocalyptic number.

666714240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195687350).

666714240 is an abundant number, since it is smaller than the sum of its proper divisors (1724660460).

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

666714240 is an equidigital number, since it uses as much as digits as its factorization.

666714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 666714240 is about 25820.8102119202. The cubic root of 666714240 is about 873.6012438094.

The spelling of 666714240 in words is "six hundred sixty-six million, seven hundred fourteen thousand, two hundred forty".