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1125930528 = 25323909481
BaseRepresentation
bin100001100011100…
…0101011000100000
32220110122012022200
41003013011120200
54301214234103
6303420333200
736621152202
oct10307053040
92813565280
101125930528
115286162a8
122750a4200
1314c35c5a8
14a976c772
1568ca90a3
hex431c5620

1125930528 has 36 divisors (see below), whose sum is σ = 3201865758. Its totient is φ = 375310080.

The previous prime is 1125930521. The next prime is 1125930563. The reversal of 1125930528 is 8250395211.

1125930528 is a `hidden beast` number, since 1 + 12 + 593 + 0 + 52 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1048982544 + 76947984 = 32388^2 + 8772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1125930492 and 1125930501.

It is not an unprimeable number, because it can be changed into a prime (1125930521) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1954453 + ... + 1955028.

Almost surely, 21125930528 is an apocalyptic number.

1125930528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1125930528 is an abundant number, since it is smaller than the sum of its proper divisors (2075935230).

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

1125930528 is a wasteful number, since it uses less digits than its factorization.

1125930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909497 (or 3909486 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1125930528 is about 33554.8882876996. Note that the first 3 decimals coincide. The cubic root of 1125930528 is about 1040.3285845368.

The spelling of 1125930528 in words is "one billion, one hundred twenty-five million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3909481 7818962 11728443 15637924 23456886 31275848 35185329 46913772 62551696 70370658 93827544 125103392 140741316 187655088 281482632 375310176 562965264 1125930528