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1152151120 = 24514401889
BaseRepresentation
bin100010010101100…
…0110111001010000
32222021222100012201
41010223012321100
54324422313440
6310154332544
740360060111
oct10453067120
92867870181
101152151120
115413a520a
12281a2a154
13154910233
14ad036208
156b23819a
hex44ac6e50

1152151120 has 20 divisors (see below), whose sum is σ = 2678751540. Its totient is φ = 460860416.

The previous prime is 1152151093. The next prime is 1152151139. The reversal of 1152151120 is 211512511.

It can be written as a sum of positive squares in 2 ways, for example, as 800663616 + 351487504 = 28296^2 + 18748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7200865 + ... + 7201024.

It is an arithmetic number, because the mean of its divisors is an integer number (133937577).

Almost surely, 21152151120 is an apocalyptic number.

1152151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152151120 is an abundant number, since it is smaller than the sum of its proper divisors (1526600420).

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

1152151120 is a wasteful number, since it uses less digits than its factorization.

1152151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401902 (or 14401896 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 19.

The square root of 1152151120 is about 33943.3516317997. The cubic root of 1152151120 is about 1048.3423943876.

Adding to 1152151120 its reverse (211512511), we get a palindrome (1363663631).

The spelling of 1152151120 in words is "one billion, one hundred fifty-two million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14401889 28803778 57607556 72009445 115215112 144018890 230430224 288037780 576075560 1152151120