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669377280 = 283511132353
BaseRepresentation
bin100111111001011…
…110001100000000
31201122112220000010
4213321132030000
52332330033110
6150231024520
722405420155
oct4771361400
91648486003
10669377280
11313934070
1216820b140
13a88a9b40
1464c8622c
153db74020
hex27e5e300

669377280 has 576 divisors, whose sum is σ = 2670216192. Its totient is φ = 140574720.

The previous prime is 669377251. The next prime is 669377281. The reversal of 669377280 is 82773966.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (669377281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12629734 + ... + 12629786.

It is an arithmetic number, because the mean of its divisors is an integer number (4635792).

Almost surely, 2669377280 is an apocalyptic number.

669377280 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 669377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335108096).

669377280 is an abundant number, since it is smaller than the sum of its proper divisors (2000838912).

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

669377280 is a wasteful number, since it uses less digits than its factorization.

669377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 669377280 is about 25872.3265285517. The cubic root of 669377280 is about 874.7628331372.

The spelling of 669377280 in words is "six hundred sixty-nine million, three hundred seventy-seven thousand, two hundred eighty".