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669696000 = 214353109
BaseRepresentation
bin100111111010101…
…100000000000000
31201200011002012120
4213322230000000
52332420233000
6150241524240
722411215321
oct4772540000
91650132176
10669696000
11314031576
12168343680
13a898bc2c
1464d2a448
153dbd86a0
hex27eac000

669696000 has 240 divisors, whose sum is σ = 2249126880. Its totient is φ = 176947200.

The previous prime is 669695993. The next prime is 669696017. The reversal of 669696000 is 696966.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143946 + ... + 6144054.

It is an arithmetic number, because the mean of its divisors is an integer number (9371362).

Almost surely, 2669696000 is an apocalyptic number.

669696000 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 669696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124563440).

669696000 is an abundant number, since it is smaller than the sum of its proper divisors (1579430880).

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

669696000 is an equidigital number, since it uses as much as digits as its factorization.

669696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 669696000 is about 25878.4852725193. The cubic root of 669696000 is about 874.9016488096.

The spelling of 669696000 in words is "six hundred sixty-nine million, six hundred ninety-six thousand".