Search a number
-
+
1152150480 = 24355134797
BaseRepresentation
bin100010010101100…
…0110101111010000
32222021222022100000
41010223012233100
54324422303410
6310154330000
740360055205
oct10453065720
92867868300
101152150480
115413a4788
12281a29900
1315490cb60
14ad035cac
156b237dc0
hex44ac6bd0

1152150480 has 480 divisors, whose sum is σ = 4458714624. Its totient is φ = 274710528.

The previous prime is 1152150463. The next prime is 1152150497. The reversal of 1152150480 is 840512511.

1152150480 is a `hidden beast` number, since 1 + 152 + 1 + 504 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1152150463) and next prime (1152150497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11877792 + ... + 11877888.

Almost surely, 21152150480 is an apocalyptic number.

1152150480 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 1152150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229357312).

1152150480 is an abundant number, since it is smaller than the sum of its proper divisors (3306564144).

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

1152150480 is a wasteful number, since it uses less digits than its factorization.

1152150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1152150480 is about 33943.3422043263. The cubic root of 1152150480 is about 1048.3422002755.

Adding to 1152150480 its reverse (840512511), we get a palindrome (1992662991).

It can be divided in two parts, 11521 and 50480, that added together give a square (62001 = 2492).

The spelling of 1152150480 in words is "one billion, one hundred fifty-two million, one hundred fifty thousand, four hundred eighty".