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1690391430 = 2345713171971
BaseRepresentation
bin110010011000001…
…0101001110000110
311100210202210010000
41210300111032012
511430220011210
6435422542130
756614042620
oct14460251606
94323683100
101690391430
11798200112
123b2137946
1320c293c20
14120703c10
159d606ac0
hex64c15386

1690391430 has 640 divisors, whose sum is σ = 6322821120. Its totient is φ = 313528320.

The previous prime is 1690391429. The next prime is 1690391453. The reversal of 1690391430 is 341930961.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23808295 + ... + 23808365.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 21690391430 is an apocalyptic number.

1690391430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690391430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161410560).

1690391430 is an abundant number, since it is smaller than the sum of its proper divisors (4632429690).

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

1690391430 is a wasteful number, since it uses less digits than its factorization.

1690391430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1690391430 is about 41114.3701155691. The cubic root of 1690391430 is about 1191.2303800922.

The spelling of 1690391430 in words is "one billion, six hundred ninety million, three hundred ninety-one thousand, four hundred thirty".