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1125491328 = 27331324147
BaseRepresentation
bin100001100010101…
…1010001010000000
32220102210212212000
41003011122022000
54301111210303
6303403104000
736614342553
oct10305321200
92812725760
101125491328
11528346325
12274b12000
1314c237700
14a969669a
1568c1dda3
hex4315a280

1125491328 has 384 divisors, whose sum is σ = 3763065600. Its totient is φ = 330670080.

The previous prime is 1125491327. The next prime is 1125491329. The reversal of 1125491328 is 8231945211.

It is an interprime number because it is at equal distance from previous prime (1125491327) and next prime (1125491329).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1125491292 and 1125491301.

It is not an unprimeable number, because it can be changed into a prime (1125491321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23946601 + ... + 23946647.

It is an arithmetic number, because the mean of its divisors is an integer number (9799650).

Almost surely, 21125491328 is an apocalyptic number.

1125491328 is a gapful number since it is divisible by the number (18) 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 1125491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881532800).

1125491328 is an abundant number, since it is smaller than the sum of its proper divisors (2637574272).

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

1125491328 is a wasteful number, since it uses less digits than its factorization.

1125491328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1125491328 is about 33548.3431483583. The cubic root of 1125491328 is about 1040.1932974043.

The spelling of 1125491328 in words is "one billion, one hundred twenty-five million, four hundred ninety-one thousand, three hundred twenty-eight".