Search a number
-
+
1330021792 = 251117474729
BaseRepresentation
bin100111101000110…
…1000010110100000
310102200200002220101
41033101220112200
510210441144132
6335550552144
744646666361
oct11721502640
93380602811
101330021792
11622843070
12311508654
13182719b58
14c88d7b68
157bb707e7
hex4f4685a0

1330021792 has 96 divisors (see below), whose sum is σ = 3089560320. Its totient is φ = 556769280.

The previous prime is 1330021789. The next prime is 1330021807. The reversal of 1330021792 is 2971200331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330021792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278884 + ... + 283612.

It is an arithmetic number, because the mean of its divisors is an integer number (32182920).

Almost surely, 21330021792 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 1330021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544780160).

1330021792 is an abundant number, since it is smaller than the sum of its proper divisors (1759538528).

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

1330021792 is a wasteful number, since it uses less digits than its factorization.

1330021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1330021792 is about 36469.4638293463. The cubic root of 1330021792 is about 1099.7304551680.

The spelling of 1330021792 in words is "one billion, three hundred thirty million, twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 68 88 94 136 176 187 188 272 352 374 376 517 544 748 752 799 1034 1496 1504 1598 2068 2992 3196 4136 4729 5984 6392 8272 8789 9458 12784 16544 17578 18916 25568 35156 37832 52019 70312 75664 80393 104038 140624 151328 160786 208076 222263 281248 321572 416152 444526 643144 832304 884323 889052 1286288 1664608 1768646 1778104 2444893 2572576 3537292 3556208 3778471 4889786 7074584 7112416 7556942 9779572 14149168 15113884 19559144 28298336 30227768 39118288 41563181 60455536 78236576 83126362 120911072 166252724 332505448 665010896 1330021792