Search a number
-
+
1331329986 = 23378534129
BaseRepresentation
bin100111101011010…
…0111101111000010
310102210010120102000
41033112213233002
510211310024421
6340035004430
744664055350
oct11726475702
93383116360
101331329986
11623556a18
12311a39716
13182a8742c
14c8b587d0
157bd2d226
hex4f5a7bc2

1331329986 has 64 divisors (see below), whose sum is σ = 3385939200. Its totient is φ = 379842048.

The previous prime is 1331329963. The next prime is 1331329997. The reversal of 1331329986 is 6899231331.

It is a Curzon number.

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, 320370 + ... + 324498.

It is an arithmetic number, because the mean of its divisors is an integer number (52905300).

Almost surely, 21331329986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331329986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692969600).

1331329986 is an abundant number, since it is smaller than the sum of its proper divisors (2054609214).

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

1331329986 is a wasteful number, since it uses less digits than its factorization.

1331329986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4994 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1331329986 is about 36487.3948919349. The cubic root of 1331329986 is about 1100.0908977227.

The spelling of 1331329986 in words is "one billion, three hundred thirty-one million, three hundred twenty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 853 1706 2559 4129 5118 5971 7677 8258 11942 12387 15354 17913 23031 24774 28903 35826 37161 46062 53739 57806 74322 86709 107478 111483 161217 173418 222966 260127 322434 520254 780381 1560762 3522037 7044074 10566111 21132222 24654259 31698333 49308518 63396666 73962777 95094999 147925554 190189998 221888331 443776662 665664993 1331329986