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669490920 = 23345724217
BaseRepresentation
bin100111111001111…
…001111011101000
31201122202122220000
4213321321323220
52332342202140
6150233303000
722406402400
oct4771717350
91648678800
10669490920
11313a0148a
12168264a60
13a8919797
1464cb5800
153db97a30
hex27e79ee8

669490920 has 240 divisors, whose sum is σ = 2618239140. Its totient is φ = 152990208.

The previous prime is 669490903. The next prime is 669490931. The reversal of 669490920 is 29094966.

It can be written as a sum of positive squares in 2 ways, for example, as 654234084 + 15256836 = 25578^2 + 3906^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 156652 + ... + 160868.

Almost surely, 2669490920 is an apocalyptic number.

669490920 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 669490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309119570).

669490920 is an abundant number, since it is smaller than the sum of its proper divisors (1948748220).

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

669490920 is a wasteful number, since it uses less digits than its factorization.

669490920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 669490920 is about 25874.5226042917. The cubic root of 669490920 is about 874.8123330861.

The spelling of 669490920 in words is "six hundred sixty-nine million, four hundred ninety thousand, nine hundred twenty".