Search a number
-
+
654653142 = 2321113419607
BaseRepresentation
bin100111000001010…
…011011011010110
31200121211211021200
4213001103123112
52320042400032
6144543253330
722136313513
oct4701233326
91617754250
10654653142
11306597660
121632aa246
13a5822c30
1462d3230a
153c71647c
hex270536d6

654653142 has 96 divisors (see below), whose sum is σ = 1673118720. Its totient is φ = 182381760.

The previous prime is 654653141. The next prime is 654653149. The reversal of 654653142 is 241356456.

654653142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 654653097 and 654653106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654653141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078203 + ... + 1078809.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2654653142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654653142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

654653142 is an abundant number, since it is smaller than the sum of its proper divisors (1018465578).

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

654653142 is a wasteful number, since it uses less digits than its factorization.

654653142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1055 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 654653142 is about 25586.1904550091. The cubic root of 654653142 is about 868.3012352844.

It can be divided in two parts, 654 and 653142, that added together give a triangular number (653796 = T1143).

The spelling of 654653142 in words is "six hundred fifty-four million, six hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 419 429 607 838 858 1214 1257 1287 1821 2514 2574 3642 3771 4609 5447 5463 6677 7542 7891 9218 10894 10926 13354 13827 15782 16341 20031 23673 27654 32682 40062 41481 47346 49023 59917 60093 71019 82962 86801 98046 119834 120186 142038 173602 179751 254333 260403 359502 508666 520806 539253 762999 781209 1078506 1525998 1562418 2288997 2797663 3306329 4577994 5595326 6612658 8392989 9918987 16785978 19837974 25178967 29756961 36369619 50357934 59513922 72739238 109108857 218217714 327326571 654653142