Search a number
-
+
1152345168 = 24321337127131
BaseRepresentation
bin100010010101111…
…0110010001010000
32222022100012101200
41010223312101100
54330000021133
6310202431200
740361525622
oct10453662120
92868305350
101152345168
11541517a87
12281b02500
1315497a660
14ad086c12
156b275913
hex44af6450

1152345168 has 240 divisors, whose sum is σ = 3622434816. Its totient is φ = 339655680.

The previous prime is 1152345157. The next prime is 1152345169. The reversal of 1152345168 is 8615432511.

1152345168 is a `hidden beast` number, since 1 + 152 + 345 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152345169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8796463 + ... + 8796593.

Almost surely, 21152345168 is an apocalyptic number.

1152345168 is a gapful number since it is divisible by the number (18) 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 1152345168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811217408).

1152345168 is an abundant number, since it is smaller than the sum of its proper divisors (2470089648).

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

1152345168 is a wasteful number, since it uses less digits than its factorization.

1152345168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1152345168 is about 33946.2099209912. The cubic root of 1152345168 is about 1048.4012458472.

Adding to 1152345168 its reverse (8615432511), we get a palindrome (9767777679).

The spelling of 1152345168 in words is "one billion, one hundred fifty-two million, three hundred forty-five thousand, one hundred sixty-eight".