Search a number
-
+
1125410000 = 24541113787
BaseRepresentation
bin100001100010100…
…0110010011010000
32220102122202021212
41003011012103100
54301101110000
6303401235252
736613553501
oct10305062320
92812582255
101125410000
115282a0210
12274a92b28
1314c2096a0
14a9674ba8
1568c04c35
hex431464d0

1125410000 has 200 divisors, whose sum is σ = 3205149024. Its totient is φ = 377280000.

The previous prime is 1125409993. The next prime is 1125410029. The reversal of 1125410000 is 145211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1429607 + ... + 1430393.

Almost surely, 21125410000 is an apocalyptic number.

1125410000 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 1125410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602574512).

1125410000 is an abundant number, since it is smaller than the sum of its proper divisors (2079739024).

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

1125410000 is a wasteful number, since it uses less digits than its factorization.

1125410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1125410000 is about 33547.1310248731. The cubic root of 1125410000 is about 1040.1682420126.

Adding to 1125410000 its reverse (145211), we get a palindrome (1125555211).

The spelling of 1125410000 in words is "one billion, one hundred twenty-five million, four hundred ten thousand".