Search a number
-
+
1150023168 = 29327101353
BaseRepresentation
bin100010010001011…
…1111011000000000
32222010222020012200
41010202333120000
54323401220133
6310040553200
740333015140
oct10442773000
92863866180
101150023168
11540181478
12281182800
131543467a8
14aca40920
156ae67913
hex448bf600

1150023168 has 240 divisors, whose sum is σ = 3841602336. Its totient is φ = 324403200.

The previous prime is 1150023167. The next prime is 1150023181. The reversal of 1150023168 is 8613200511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150023167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3257680 + ... + 3258032.

Almost surely, 21150023168 is an apocalyptic number.

1150023168 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 1150023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920801168).

1150023168 is an abundant number, since it is smaller than the sum of its proper divisors (2691579168).

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

1150023168 is a wasteful number, since it uses less digits than its factorization.

1150023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1150023168 is about 33911.9915074299. The cubic root of 1150023168 is about 1047.6965887393.

Adding to 1150023168 its reverse (8613200511), we get a palindrome (9763223679).

The spelling of 1150023168 in words is "one billion, one hundred fifty million, twenty-three thousand, one hundred sixty-eight".