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1690730496 = 215347213
BaseRepresentation
bin110010011000110…
…1000000000000000
311100211102000020000
41210301220000000
511430311333441
6435434120000
756616654300
oct14461500000
94324360200
101690730496
11798411934
123b2280000
1320c382360
14120791600
159d6722b6
hex64c68000

1690730496 has 480 divisors, whose sum is σ = 6327928530. Its totient is φ = 445906944.

The previous prime is 1690730449. The next prime is 1690730497. The reversal of 1690730496 is 6940370961.

1690730496 is a `hidden beast` number, since 1 + 6 + 90 + 73 + 0 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 65028096 = 40320^2 + 8064^2 .

It is a super-2 number, since 2×16907304962 = 5717139220208812032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1690730497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130056186 + ... + 130056198.

Almost surely, 21690730496 is an apocalyptic number.

1690730496 is a gapful number since it is divisible by the number (16) 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 1690730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163964265).

1690730496 is an abundant number, since it is smaller than the sum of its proper divisors (4637198034).

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

1690730496 is an frugal number, since it uses more digits than its factorization.

1690730496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1690730496 is about 41118.4933576122. The cubic root of 1690730496 is about 1191.3100221424.

The spelling of 1690730496 in words is "one billion, six hundred ninety million, seven hundred thirty thousand, four hundred ninety-six".