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1125925920 = 2536572197
BaseRepresentation
bin100001100011100…
…0100010000100000
32220110121222000000
41003013010100200
54301214112140
6303420300000
736621132600
oct10307042040
92813558000
101125925920
11528612899
122750a1600
1314c35a472
14a976ac00
1568ca7a30
hex431c4420

1125925920 has 504 divisors, whose sum is σ = 4662856044. Its totient is φ = 256048128.

The previous prime is 1125925919. The next prime is 1125925943. The reversal of 1125925920 is 295295211.

It is a happy number.

1125925920 is a `hidden beast` number, since 1 + 12 + 59 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1056770064 + 69155856 = 32508^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715262 + ... + 5715458.

Almost surely, 21125925920 is an apocalyptic number.

1125925920 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 1125925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331428022).

1125925920 is an abundant number, since it is smaller than the sum of its proper divisors (3536930124).

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

1125925920 is an equidigital number, since it uses as much as digits as its factorization.

1125925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1125925920 is about 33554.8196240123. The cubic root of 1125925920 is about 1040.3271653135.

The spelling of 1125925920 in words is "one billion, one hundred twenty-five million, nine hundred twenty-five thousand, nine hundred twenty".