Search a number
-
+
1329858068 = 2271123347541
BaseRepresentation
bin100111101000100…
…0000011000010100
310102200100210022112
41033101000120110
510210420424233
6335543250152
744645415140
oct11721003024
93380323275
101329858068
11622741060
12311449958
13182690486
14c8894220
157bb3c048
hex4f440614

1329858068 has 96 divisors (see below), whose sum is σ = 3041998848. Its totient is φ = 493257600.

The previous prime is 1329858067. The next prime is 1329858149. The reversal of 1329858068 is 8608589231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329858067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457878 + ... + 2458418.

It is an arithmetic number, because the mean of its divisors is an integer number (31687488).

Almost surely, 21329858068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329858068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520999424).

1329858068 is an abundant number, since it is smaller than the sum of its proper divisors (1712140780).

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

1329858068 is a wasteful number, since it uses less digits than its factorization.

1329858068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The square root of 1329858068 is about 36467.2190878328. The cubic root of 1329858068 is about 1099.6853281737.

The spelling of 1329858068 in words is "one billion, three hundred twenty-nine million, eight hundred fifty-eight thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 347 506 541 644 694 1012 1082 1388 1771 2164 2429 3542 3787 3817 4858 5951 7084 7574 7634 7981 9716 11902 12443 15148 15268 15962 23804 24886 26719 31924 41657 49772 53438 55867 83314 87101 87791 106876 111734 136873 166628 174202 175582 187727 223468 273746 348404 351164 375454 547492 614537 750908 958111 1229074 1314089 1916222 2064997 2458148 2628178 3832444 4129994 4317721 5256356 8259988 8635442 14454979 17270884 28909958 30224047 47494931 57819916 60448094 94989862 120896188 189979724 332464517 664929034 1329858068