Search a number
-
+
1075007232 = 283213191889
BaseRepresentation
bin100000000010011…
…0100111100000000
32202220211000200200
41000010310330000
54200200212412
6254401045200
735432260605
oct10004647400
92686730620
101075007232
115018a4932
12260026800
1314193cb70
14a2ab46ac
156459a9dc
hex40134f00

1075007232 has 216 divisors, whose sum is σ = 3515475600. Its totient is φ = 313196544.

The previous prime is 1075007221. The next prime is 1075007299. The reversal of 1075007232 is 2327005701.

It is a junction number, because it is equal to n+sod(n) for n = 1075007196 and 1075007205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568144 + ... + 570032.

It is an arithmetic number, because the mean of its divisors is an integer number (16275350).

Almost surely, 21075007232 is an apocalyptic number.

1075007232 is a gapful number since it is divisible by the number (12) 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 1075007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757737800).

1075007232 is an abundant number, since it is smaller than the sum of its proper divisors (2440468368).

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

1075007232 is a wasteful number, since it uses less digits than its factorization.

1075007232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1075007232 is about 32787.3029082906. The cubic root of 1075007232 is about 1024.4021044507.

The spelling of 1075007232 in words is "one billion, seventy-five million, seven thousand, two hundred thirty-two".