Search a number
-
+
689731038 = 234172310889
BaseRepresentation
bin101001000111000…
…111010111011110
31210001211222010000
4221013013113132
52403032343123
6152235155130
723043421443
oct5107072736
91701758100
10689731038
11324376157
12172ba5aa6
13acb85299
14678639ca
1540844b43
hex291c75de

689731038 has 80 divisors (see below), whose sum is σ = 1707726240. Its totient is φ = 206959104.

The previous prime is 689731037. The next prime is 689731057. The reversal of 689731038 is 830137986.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 689730984 and 689731002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689731033) 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 39 ways as a sum of consecutive naturals, for example, 57898 + ... + 68786.

It is an arithmetic number, because the mean of its divisors is an integer number (21346578).

Almost surely, 2689731038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689731038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853863120).

689731038 is an abundant number, since it is smaller than the sum of its proper divisors (1017995202).

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

689731038 is a wasteful number, since it uses less digits than its factorization.

689731038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 689731038 is about 26262.7309699506. The cubic root of 689731038 is about 883.5407610020.

It can be divided in two parts, 6897 and 31038, that multiplied together give a triangular number (214069086 = T20691).

The spelling of 689731038 in words is "six hundred eighty-nine million, seven hundred thirty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 391 414 459 621 782 918 1173 1242 1377 1863 2346 2754 3519 3726 7038 10557 10889 21114 21778 31671 32667 63342 65334 98001 185113 196002 250447 294003 370226 500894 555339 588006 751341 882009 1110678 1502682 1666017 1764018 2254023 3332034 4257599 4508046 4998051 6762069 8515198 9996102 12772797 13524138 14994153 20286207 25545594 29988306 38318391 40572414 76636782 114955173 229910346 344865519 689731038