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1689769368 = 2332712592663
BaseRepresentation
bin110010010110111…
…1101010110011000
311100202121011210200
41210231331112120
511430040104433
6435401342200
756605542210
oct14455752630
94322534720
101689769368
11797915811
123b1a97960
1320c106a41
141205c1240
159d532613
hex64b7d598

1689769368 has 96 divisors (see below), whose sum is σ = 5236358400. Its totient is φ = 482226624.

The previous prime is 1689769321. The next prime is 1689769379. The reversal of 1689769368 is 8639679861.

It is a super-2 number, since 2×16897693682 = 5710641034062238848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 633205 + ... + 635867.

It is an arithmetic number, because the mean of its divisors is an integer number (54545400).

Almost surely, 21689769368 is an apocalyptic number.

1689769368 is a gapful number since it is divisible by the number (18) 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 1689769368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618179200).

1689769368 is an abundant number, since it is smaller than the sum of its proper divisors (3546589032).

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

1689769368 is a wasteful number, since it uses less digits than its factorization.

1689769368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3934 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1689769368 is about 41106.8044002450. The cubic root of 1689769368 is about 1191.0842383848.

The spelling of 1689769368 in words is "one billion, six hundred eighty-nine million, seven hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1259 2518 2663 3777 5036 5326 7554 7989 8813 10072 10652 11331 15108 15978 17626 18641 21304 22662 23967 26439 30216 31956 35252 37282 45324 47934 52878 55923 63912 70504 74564 79317 90648 95868 105756 111846 149128 158634 167769 191736 211512 223692 317268 335538 447384 634536 671076 1342152 3352717 6705434 10058151 13410868 20116302 23469019 26821736 30174453 40232604 46938038 60348906 70407057 80465208 93876076 120697812 140814114 187752152 211221171 241395624 281628228 422442342 563256456 844884684 1689769368