Search a number
-
+
1153030494 = 237117433359
BaseRepresentation
bin100010010111001…
…1101100101011110
32222100122000111010
41010232131211132
54330133433434
6310225240050
740400411640
oct10456354536
92870560433
101153030494
11541945970
12282193026
13154b5a585
14ad1c4890
156b35d9e9
hex44b9d95e

1153030494 has 64 divisors (see below), whose sum is σ = 2879815680. Its totient is φ = 298996320.

The previous prime is 1153030441. The next prime is 1153030499. The reversal of 1153030494 is 4940303511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153030499) 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 31 ways as a sum of consecutive naturals, for example, 341587 + ... + 344945.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 21153030494 is an apocalyptic number.

1153030494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153030494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

1153030494 is an abundant number, since it is smaller than the sum of its proper divisors (1726785186).

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

1153030494 is a wasteful number, since it uses less digits than its factorization.

1153030494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1153030494 is about 33956.3027139293. The cubic root of 1153030494 is about 1048.6090407174.

It can be divided in two parts, 11530 and 30494, that added together give a palindrome (42024).

The spelling of 1153030494 in words is "one billion, one hundred fifty-three million, thirty thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 743 1486 2229 3359 4458 5201 6718 8173 10077 10402 15603 16346 20154 23513 24519 31206 36949 47026 49038 57211 70539 73898 110847 114422 141078 171633 221694 258643 343266 517286 775929 1551858 2495737 4991474 7487211 14974422 17470159 27453107 34940318 52410477 54906214 82359321 104820954 164718642 192171749 384343498 576515247 1153030494