Search a number
-
+
1130035500 = 2232531137617
BaseRepresentation
bin100001101011010…
…1111100100101100
32220202100202021200
41003112233210230
54303242114000
6304044325500
740001100066
oct10326574454
92822322250
101130035500
1152a96a440
12276543890
13150168b79
14aa11a736
156931a500
hex435af92c

1130035500 has 288 divisors, whose sum is σ = 4000546368. Its totient is φ = 266112000.

The previous prime is 1130035493. The next prime is 1130035561. The reversal of 1130035500 is 55300311.

It is a happy number.

1130035500 is a `hidden beast` number, since 1 + 130 + 0 + 35 + 500 = 666.

1130035500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1831192 + ... + 1831808.

It is an arithmetic number, because the mean of its divisors is an integer number (13890786).

Almost surely, 21130035500 is an apocalyptic number.

1130035500 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 1130035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000273184).

1130035500 is an abundant number, since it is smaller than the sum of its proper divisors (2870510868).

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

1130035500 is a wasteful number, since it uses less digits than its factorization.

1130035500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1130035500 is about 33616.0006544503. Note that the first 3 decimals coincide. The cubic root of 1130035500 is about 1041.5913445981.

Adding to 1130035500 its reverse (55300311), we get a palindrome (1185335811).

The spelling of 1130035500 in words is "one billion, one hundred thirty million, thirty-five thousand, five hundred".