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1687633920 = 2143357109
BaseRepresentation
bin110010010010111…
…0100000000000000
311100121120200112000
41210211310000000
511424013241140
6435243504000
756551436340
oct14445640000
94317520460
101687633920
11796697385
123b1228000
1320b839a6b
141201c6d20
159d25ea30
hex64974000

1687633920 has 480 divisors, whose sum is σ = 6920390400. Its totient is φ = 382205952.

The previous prime is 1687633919. The next prime is 1687633921. The reversal of 1687633920 is 293367861.

1687633920 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 633 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1687633919) and next prime (1687633921).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687633921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482826 + ... + 15482934.

It is an arithmetic number, because the mean of its divisors is an integer number (14417480).

Almost surely, 21687633920 is an apocalyptic number.

1687633920 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 1687633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460195200).

1687633920 is an abundant number, since it is smaller than the sum of its proper divisors (5232756480).

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

1687633920 is an equidigital number, since it uses as much as digits as its factorization.

1687633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1687633920 is about 41080.8218028802. The cubic root of 1687633920 is about 1190.5822821799.

The spelling of 1687633920 in words is "one billion, six hundred eighty-seven million, six hundred thirty-three thousand, nine hundred twenty".