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669120000 = 293541741
BaseRepresentation
bin100111111000011…
…111011000000000
31201122001211002020
4213320133120000
52332243320000
6150221321440
722403266113
oct4770373000
91648054066
10669120000
1131377883a
12168106280
13a88199c3
1464c1a57a
153db22ba0
hex27e1f600

669120000 has 400 divisors, whose sum is σ = 2416064112. Its totient is φ = 163840000.

The previous prime is 669119993. The next prime is 669120013. The reversal of 669120000 is 21966.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16319980 + ... + 16320020.

Almost surely, 2669120000 is an apocalyptic number.

669120000 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 669120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208032056).

669120000 is an abundant number, since it is smaller than the sum of its proper divisors (1746944112).

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

669120000 is an equidigital number, since it uses as much as digits as its factorization.

669120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 669120000 is about 25867.3539427596. The cubic root of 669120000 is about 874.6507449676.

Adding to 669120000 its reverse (21966), we get a palindrome (669141966).

The spelling of 669120000 in words is "six hundred sixty-nine million, one hundred twenty thousand".