Search a number
-
+
1154505330 = 2325118913103
BaseRepresentation
bin100010011010000…
…0101101001110010
32222110101221120200
41010310011221302
54331023132310
6310321020030
740416063516
oct10464055162
92873357520
101154505330
11542762a40
12282784616
13155255964
14ad48a146
156b5509c0
hex44d05a72

1154505330 has 96 divisors (see below), whose sum is σ = 3311642880. Its totient is φ = 276714240.

The previous prime is 1154505299. The next prime is 1154505367. The reversal of 1154505330 is 335054511.

1154505330 is a `hidden beast` number, since 1 + 154 + 505 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1154505294 and 1154505303.

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 47 ways as a sum of consecutive naturals, for example, 81559 + ... + 94661.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 21154505330 is an apocalyptic number.

1154505330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1154505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655821440).

1154505330 is an abundant number, since it is smaller than the sum of its proper divisors (2157137550).

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

1154505330 is a wasteful number, since it uses less digits than its factorization.

1154505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13216 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1154505330 is about 33978.0124492296. The cubic root of 1154505330 is about 1049.0559405622.

Adding to 1154505330 its reverse (335054511), we get a palindrome (1489559841).

The spelling of 1154505330 in words is "one billion, one hundred fifty-four million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 89 90 99 110 165 178 198 267 330 445 495 534 801 890 979 990 1335 1602 1958 2670 2937 4005 4895 5874 8010 8811 9790 13103 14685 17622 26206 29370 39309 44055 65515 78618 88110 117927 131030 144133 196545 235854 288266 393090 432399 589635 720665 864798 1166167 1179270 1297197 1441330 2161995 2332334 2594394 3498501 4323990 5830835 6485985 6997002 10495503 11661670 12827837 12971970 17492505 20991006 25655674 34985010 38483511 52477515 64139185 76967022 104955030 115450533 128278370 192417555 230901066 384835110 577252665 1154505330