Search a number
-
+
1133324440 = 235532831889
BaseRepresentation
bin100001110001101…
…0010100010011000
32220222112211212021
41003203102202120
54310112340230
6304243024224
740041045613
oct10343224230
92828484767
101133324440
11531806476
1227766b074
13150a4aba1
14aa73517a
1569769c7a
hex438d2898

1133324440 has 64 divisors (see below), whose sum is σ = 2608653600. Its totient is φ = 442970112.

The previous prime is 1133324411. The next prime is 1133324459. The reversal of 1133324440 is 444233311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599016 + ... + 600904.

Almost surely, 21133324440 is an apocalyptic number.

1133324440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304326800).

1133324440 is an abundant number, since it is smaller than the sum of its proper divisors (1475329160).

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

1133324440 is a wasteful number, since it uses less digits than its factorization.

1133324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1133324440 is about 33664.8843752656. The cubic root of 1133324440 is about 1042.6008743278.

Adding to 1133324440 its reverse (444233311), we get a palindrome (1577557751).

The spelling of 1133324440 in words is "one billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 283 424 530 566 1060 1132 1415 1889 2120 2264 2830 3778 5660 7556 9445 11320 14999 15112 18890 29998 37780 59996 74995 75560 100117 119992 149990 200234 299980 400468 500585 534587 599960 800936 1001170 1069174 2002340 2138348 2672935 4004680 4276696 5345870 10691740 21383480 28333111 56666222 113332444 141665555 226664888 283331110 566662220 1133324440