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1155114240 = 283573877
BaseRepresentation
bin100010011011001…
…1010010100000000
32222111112212211220
41010312122110000
54331202123430
6310342035040
740424211000
oct10466322400
92874485756
101155114240
11543039475
12282a18a80
13155409b67
14ad5a8000
156b621110
hex44d9a500

1155114240 has 288 divisors, whose sum is σ = 4307116800. Its totient is φ = 263725056.

The previous prime is 1155114227. The next prime is 1155114241. The reversal of 1155114240 is 424115511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1155114240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155114241) 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 31 ways as a sum of consecutive naturals, for example, 1316682 + ... + 1317558.

Almost surely, 21155114240 is an apocalyptic number.

1155114240 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 1155114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153558400).

1155114240 is an abundant number, since it is smaller than the sum of its proper divisors (3152002560).

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

1155114240 is an frugal number, since it uses more digits than its factorization.

1155114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1155114240 is about 33986.9716214905. The cubic root of 1155114240 is about 1049.2403394174.

Adding to 1155114240 its reverse (424115511), we get a palindrome (1579229751).

The spelling of 1155114240 in words is "one billion, one hundred fifty-five million, one hundred fourteen thousand, two hundred forty".