Search a number
-
+
1689673260 = 2235117873253
BaseRepresentation
bin110010010110110…
…0101111000101100
311100202102021222010
41210231211320230
511430024021020
6435355321220
756604662052
oct14455457054
94322367863
101689673260
1179785a590
123b1a50210
1320c0a2082
141205981d2
159d513de0
hex64b65e2c

1689673260 has 96 divisors (see below), whose sum is σ = 5169330432. Its totient is φ = 408971520.

The previous prime is 1689673253. The next prime is 1689673283. The reversal of 1689673260 is 623769861.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517794 + ... + 521046.

It is an arithmetic number, because the mean of its divisors is an integer number (53847192).

Almost surely, 21689673260 is an apocalyptic number.

1689673260 is a gapful number since it is divisible by the number (10) 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 1689673260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584665216).

1689673260 is an abundant number, since it is smaller than the sum of its proper divisors (3479657172).

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

1689673260 is a wasteful number, since it uses less digits than its factorization.

1689673260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1689673260 is about 41105.6353800790. The cubic root of 1689673260 is about 1191.0616564285.

The spelling of 1689673260 in words is "one billion, six hundred eighty-nine million, six hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 787 1574 2361 3148 3253 3935 4722 6506 7870 8657 9444 9759 11805 13012 15740 16265 17314 19518 23610 25971 32530 34628 35783 39036 43285 47220 48795 51942 65060 71566 86570 97590 103884 107349 129855 143132 173140 178915 195180 214698 259710 357830 429396 519420 536745 715660 1073490 2146980 2560111 5120222 7680333 10240444 12800555 15360666 25601110 28161221 30721332 38401665 51202220 56322442 76803330 84483663 112644884 140806105 153606660 168967326 281612210 337934652 422418315 563224420 844836630 1689673260