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1690000000 = 2757132
BaseRepresentation
bin110010010111011…
…0101101010000000
311100210000220011121
41210232311222000
511430120000000
6435410322024
756610522463
oct14456655200
94323026147
101690000000
11797a63017
123b1b89314
1320c187a00
141206412da
159d57ab1a
hex64bb5a80

1690000000 has 192 divisors, whose sum is σ = 4557117240. Its totient is φ = 624000000.

The previous prime is 1689999989. The next prime is 1690000021. The reversal of 1690000000 is 961.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 1309281856 + 380718144 = 36184^2 + 19512^2 .

It is a super-2 number, since 2×16900000002 = 5712200000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129999994 + ... + 130000006.

Almost surely, 21690000000 is an apocalyptic number.

1690000000 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 1690000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278558620).

1690000000 is an abundant number, since it is smaller than the sum of its proper divisors (2867117240).

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

1690000000 is an frugal number, since it uses more digits than its factorization.

1690000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1690000000 is about 41109.6095821889. The cubic root of 1690000000 is about 1191.1384251964.

Adding to 1690000000 its reverse (961), we get a palindrome (1690000961).

The spelling of 1690000000 in words is "one billion, six hundred ninety million", and thus it is an aban number.