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660890880 = 28335131471
BaseRepresentation
bin100111011001000…
…110010100000000
31201001120201212000
4213121012110000
52323142002010
6145325104000
722243323366
oct4731062400
91631521760
10660890880
1130a068111
121653b8000
13a6bc81c0
1463ab7636
153d0497c0
hex27646500

660890880 has 288 divisors, whose sum is σ = 2527365120. Its totient is φ = 162570240.

The previous prime is 660890863. The next prime is 660890921. The reversal of 660890880 is 88098066.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 448545 + ... + 450015.

Almost surely, 2660890880 is an apocalyptic number.

660890880 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 660890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263682560).

660890880 is an abundant number, since it is smaller than the sum of its proper divisors (1866474240).

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

660890880 is a wasteful number, since it uses less digits than its factorization.

660890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 660890880 is about 25707.7980387275. The cubic root of 660890880 is about 871.0503366674.

The spelling of 660890880 in words is "six hundred sixty million, eight hundred ninety thousand, eight hundred eighty".