Search a number
-
+
1125202320 = 2433511232971
BaseRepresentation
bin100001100010001…
…0011100110010000
32220102021012102000
41003010103212100
54301022433240
6303352554000
736612030144
oct10304234620
92812235360
101125202320
11528169180
122749b2900
1314c165cb8
14a961d224
1568bb3430
hex43113990

1125202320 has 640 divisors, whose sum is σ = 4628275200. Its totient is φ = 248371200.

The previous prime is 1125202303. The next prime is 1125202357. The reversal of 1125202320 is 232025211.

1125202320 is a `hidden beast` number, since 112 + 520 + 2 + 32 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125202293 and 1125202302.

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 127 ways as a sum of consecutive naturals, for example, 15847885 + ... + 15847955.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 21125202320 is an apocalyptic number.

1125202320 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 1125202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

1125202320 is an abundant number, since it is smaller than the sum of its proper divisors (3503072880).

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

1125202320 is a wasteful number, since it uses less digits than its factorization.

1125202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1125202320 is about 33544.0355353973. The cubic root of 1125202320 is about 1040.1042548346.

Adding to 1125202320 its reverse (232025211), we get a palindrome (1357227531).

The spelling of 1125202320 in words is "one billion, one hundred twenty-five million, two hundred two thousand, three hundred twenty".