Search a number
-
+
1689698088 = 2332135334061
BaseRepresentation
bin110010010110110…
…1011111100101000
311100202110120000200
41210231223330220
511430030314323
6435400032200
756605124331
oct14455537450
94322416020
101689698088
11797877201
123b1a62660
1320c0b0470
141205a3288
159d51b443
hex64b6bf28

1689698088 has 96 divisors (see below), whose sum is σ = 5021420040. Its totient is φ = 510082560.

The previous prime is 1689698071. The next prime is 1689698089. The reversal of 1689698088 is 8808969861.

It can be written as a sum of positive squares in 4 ways, for example, as 715134564 + 974563524 = 26742^2 + 31218^2 .

It is not an unprimeable number, because it can be changed into a prime (1689698089) 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 23 ways as a sum of consecutive naturals, for example, 32578 + ... + 66638.

Almost surely, 21689698088 is an apocalyptic number.

1689698088 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 1689698088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510710020).

1689698088 is an abundant number, since it is smaller than the sum of its proper divisors (3331721952).

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

1689698088 is a wasteful number, since it uses less digits than its factorization.

1689698088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34139 (or 34132 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 1689698088 is about 41105.9373813565. The cubic root of 1689698088 is about 1191.0674902061.

The spelling of 1689698088 in words is "one billion, six hundred eighty-nine million, six hundred ninety-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5512 6201 8268 12402 16536 24804 34061 49608 68122 102183 136244 204366 272488 306549 408732 442793 613098 817464 885586 1226196 1328379 1771172 1805233 2452392 2656758 3542344 3610466 3985137 5313516 5415699 7220932 7970274 10627032 10831398 14441864 15940548 16247097 21662796 23468029 31881096 32494194 43325592 46936058 64988388 70404087 93872116 129976776 140808174 187744232 211212261 281616348 422424522 563232696 844849044 1689698088