Search a number
-
+
1133142540 = 223585722037
BaseRepresentation
bin100001110001010…
…0110001000001100
32220222012121100020
41003202212020030
54310041030130
6304235102140
740036360365
oct10342461014
92828177306
101133142540
115316a1842
122775a1950
131509b615a
14aa6c8b6c
1569730e10
hex438a620c

1133142540 has 48 divisors (see below), whose sum is σ = 3176645472. Its totient is φ = 301805056.

The previous prime is 1133142529. The next prime is 1133142547. The reversal of 1133142540 is 452413311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1133142540.

It is not an unprimeable number, because it can be changed into a prime (1133142547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40402 + ... + 62438.

It is an arithmetic number, because the mean of its divisors is an integer number (66180114).

Almost surely, 21133142540 is an apocalyptic number.

1133142540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133142540 is an abundant number, since it is smaller than the sum of its proper divisors (2043502932).

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

1133142540 is a wasteful number, since it uses less digits than its factorization.

1133142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22906 (or 22904 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1133142540 is about 33662.1826386822. The cubic root of 1133142540 is about 1042.5450917588.

Adding to 1133142540 its reverse (452413311), we get a palindrome (1585555851).

The spelling of 1133142540 in words is "one billion, one hundred thirty-three million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 857 1714 2571 3428 4285 5142 8570 10284 12855 17140 22037 25710 44074 51420 66111 88148 110185 132222 220370 264444 330555 440740 661110 1322220 18885709 37771418 56657127 75542836 94428545 113314254 188857090 226628508 283285635 377714180 566571270 1133142540