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669332160 = 26345721731
BaseRepresentation
bin100111111001010…
…011001011000000
31201122110121010000
4213321103023000
52332322112120
6150230040000
722405141500
oct4771231300
91648417100
10669332160
11313903182
121681a9000
13a8892443
1464c73a00
153db65990
hex27e532c0

669332160 has 840 divisors, whose sum is σ = 3027176064. Its totient is φ = 139345920.

The previous prime is 669332101. The next prime is 669332189. The reversal of 669332160 is 61233966.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21591345 + ... + 21591375.

Almost surely, 2669332160 is an apocalyptic number.

669332160 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 669332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513588032).

669332160 is an abundant number, since it is smaller than the sum of its proper divisors (2357843904).

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

669332160 is a wasteful number, since it uses less digits than its factorization.

669332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 669332160 is about 25871.4545397046. The cubic root of 669332160 is about 874.7431779606.

The spelling of 669332160 in words is "six hundred sixty-nine million, three hundred thirty-two thousand, one hundred sixty".