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1690000728 = 233138116679
BaseRepresentation
bin110010010111011…
…0101110101011000
311100210000221011120
41210232311311120
511430120010403
6435410325240
756610524553
oct14456656530
94323027146
101690000728
11797a63619
123b1b89820
1320c188140
1412064169a
159d57ae53
hex64bb5d58

1690000728 has 64 divisors (see below), whose sum is σ = 4556294400. Its totient is φ = 519281280.

The previous prime is 1690000727. The next prime is 1690000751. The reversal of 1690000728 is 8270000961.

It is a super-2 number, since 2×16900007282 = 5712204921281059968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690000727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249693 + ... + 256371.

It is an arithmetic number, because the mean of its divisors is an integer number (71192100).

Almost surely, 21690000728 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 1690000728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278147200).

1690000728 is an abundant number, since it is smaller than the sum of its proper divisors (2866293672).

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

1690000728 is a wasteful number, since it uses less digits than its factorization.

1690000728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1690000728 is about 41109.6184365654. The cubic root of 1690000728 is about 1191.1385962317.

The spelling of 1690000728 in words is "one billion, six hundred ninety million, seven hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 811 1622 2433 3244 4866 6488 6679 9732 10543 13358 19464 20037 21086 26716 31629 40074 42172 53432 63258 80148 84344 86827 126516 160296 173654 253032 260481 347308 520962 694616 1041924 2083848 5416669 10833338 16250007 21666676 32500014 43333352 65000028 70416697 130000056 140833394 211250091 281666788 422500182 563333576 845000364 1690000728