Search a number
-
+
1140815340 = 223457293469
BaseRepresentation
bin100001111111111…
…0111010111101100
32221111122102110000
41003333313113230
54314022042330
6305111344300
740161525150
oct10377672754
92844572400
101140815340
11535a624a5
1227a082090
13152471682
14ab725060
156a249560
hex43ff75ec

1140815340 has 240 divisors, whose sum is σ = 4232289600. Its totient is φ = 251693568.

The previous prime is 1140815317. The next prime is 1140815381. The reversal of 1140815340 is 435180411.

It is a happy number.

1140815340 is a `hidden beast` number, since 11 + 40 + 81 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327126 + ... + 330594.

It is an arithmetic number, because the mean of its divisors is an integer number (17634540).

Almost surely, 21140815340 is an apocalyptic number.

1140815340 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 1140815340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116144800).

1140815340 is an abundant number, since it is smaller than the sum of its proper divisors (3091474260).

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

1140815340 is a wasteful number, since it uses less digits than its factorization.

1140815340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1140815340 is about 33775.9580175011. The cubic root of 1140815340 is about 1044.8929142498.

Adding to 1140815340 its reverse (435180411), we get a palindrome (1575995751).

The spelling of 1140815340 in words is "one billion, one hundred forty million, eight hundred fifteen thousand, three hundred forty".