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1125575712 = 253217229897
BaseRepresentation
bin100001100010110…
…1110110000100000
32220102222011121100
41003011232300200
54301121410322
6303404554400
736615143562
oct10305566040
92812864540
101125575712
115283a3768
12274b52a00
1314c266c41
14a96b9332
1568c38dac
hex4316ec20

1125575712 has 72 divisors (see below), whose sum is σ = 3389156316. Its totient is φ = 353120256.

The previous prime is 1125575677. The next prime is 1125575719. The reversal of 1125575712 is 2175755211.

1125575712 is a `hidden beast` number, since 1 + 12 + 5 + 575 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1099320336 + 26255376 = 33156^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1125575719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110053 + ... + 119844.

Almost surely, 21125575712 is an apocalyptic number.

1125575712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1125575712 is an abundant number, since it is smaller than the sum of its proper divisors (2263580604).

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

1125575712 is a wasteful number, since it uses less digits than its factorization.

1125575712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229930 (or 229919 counting only the distinct ones).

The product of its digits is 24500, while the sum is 36.

The square root of 1125575712 is about 33549.6007725874. The cubic root of 1125575712 is about 1040.2192930074.

The spelling of 1125575712 in words is "one billion, one hundred twenty-five million, five hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 229897 459794 689691 919588 1379382 1839176 2069073 2758764 3678352 3908249 4138146 5517528 7356704 7816498 8276292 11035056 11724747 15632996 16552584 22070112 23449494 31265992 33105168 35174241 46898988 62531984 66210336 70348482 93797976 125063968 140696964 187595952 281393928 375191904 562787856 1125575712