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669100320 = 253257411619
BaseRepresentation
bin100111111000011…
…010100100100000
31201122000211002100
4213320122210200
52332242202240
6150221050400
722403154540
oct4770324440
91648024070
10669100320
11313764a79
121680b6a00
13a8810a65
1464c13320
153db1be30
hex27e1a920

669100320 has 288 divisors, whose sum is σ = 2674788480. Its totient is φ = 149114880.

The previous prime is 669100307. The next prime is 669100343. The reversal of 669100320 is 23001966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412471 + ... + 414089.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2669100320 is an apocalyptic number.

669100320 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 669100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

669100320 is an abundant number, since it is smaller than the sum of its proper divisors (2005688160).

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

669100320 is a wasteful number, since it uses less digits than its factorization.

669100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 669100320 is about 25866.9735376986. The cubic root of 669100320 is about 874.6421698763.

The spelling of 669100320 in words is "six hundred sixty-nine million, one hundred thousand, three hundred twenty".