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1690737984 = 263213435989
BaseRepresentation
bin110010011000110…
…1001110101000000
311100211102101111100
41210301221311000
511430312103414
6435434214400
756620015155
oct14461516500
94324371440
101690737984
11798417521
123b2284400
1320c3858a0
1412079422c
159d674609
hex64c69d40

1690737984 has 336 divisors, whose sum is σ = 5491886400. Its totient is φ = 493903872.

The previous prime is 1690737967. The next prime is 1690737989. The reversal of 1690737984 is 4897370961.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1690737984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690737989) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18997012 + ... + 18997100.

It is an arithmetic number, because the mean of its divisors is an integer number (16344900).

Almost surely, 21690737984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745943200).

1690737984 is an abundant number, since it is smaller than the sum of its proper divisors (3801148416).

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

1690737984 is a wasteful number, since it uses less digits than its factorization.

1690737984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1690737984 is about 41118.5844114313. The cubic root of 1690737984 is about 1191.3117808529.

The spelling of 1690737984 in words is "one billion, six hundred ninety million, seven hundred thirty-seven thousand, nine hundred eighty-four".