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1689024960 = 26355729107
BaseRepresentation
bin110010010101100…
…0111100111000000
311100201012100200000
41210223013213000
511424342244320
6435333400000
756566322010
oct14453074700
94321170600
101689024960
117974574a7
123b1799000
1320bc05c6c
14120469c40
159d436c90
hex64ac79c0

1689024960 has 672 divisors, whose sum is σ = 7189378560. Its totient is φ = 369266688.

The previous prime is 1689024881. The next prime is 1689024979. The reversal of 1689024960 is 694209861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15785227 + ... + 15785333.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 21689024960 is an apocalyptic number.

1689024960 is a gapful number since it is divisible by the number (10) 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 1689024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

1689024960 is an abundant number, since it is smaller than the sum of its proper divisors (5500353600).

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

1689024960 is a wasteful number, since it uses less digits than its factorization.

1689024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1689024960 is about 41097.7488434586. The cubic root of 1689024960 is about 1190.9093066484.

The spelling of 1689024960 in words is "one billion, six hundred eighty-nine million, twenty-four thousand, nine hundred sixty".