Search a number
-
+
1124350080 = 273572171937
BaseRepresentation
bin100001100000100…
…0011100010000000
32220100122220100120
41003001003202000
54300313200310
6303322420240
736601550400
oct10301034200
92810586316
101124350080
11527736947
12274661680
1314bc28109
14a947a800
1568a95b70
hex43043880

1124350080 has 768 divisors, whose sum is σ = 4772131200. Its totient is φ = 222953472.

The previous prime is 1124350033. The next prime is 1124350127. The reversal of 1124350080 is 800534211.

It is an interprime number because it is at equal distance from previous prime (1124350033) and next prime (1124350127).

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 1124350080.

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, 30387822 + ... + 30387858.

Almost surely, 21124350080 is an apocalyptic number.

1124350080 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 1124350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386065600).

1124350080 is an abundant number, since it is smaller than the sum of its proper divisors (3647781120).

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

1124350080 is a wasteful number, since it uses less digits than its factorization.

1124350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1124350080 is about 33531.3298274912. The cubic root of 1124350080 is about 1039.8415932306.

Adding to 1124350080 its reverse (800534211), we get a palindrome (1924884291).

The spelling of 1124350080 in words is "one billion, one hundred twenty-four million, three hundred fifty thousand, eighty".