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1125505668 = 2237532411049
BaseRepresentation
bin100001100010101…
…1101101010000100
32220102211121112010
41003011131222010
54301112140133
6303403254220
736614432430
oct10305355204
92812747463
101125505668
11528356081
12274b1a370
1314c2410b1
14a969b9c0
1568c23263
hex4315da84

1125505668 has 96 divisors (see below), whose sum is σ = 3073593600. Its totient is φ = 313896960.

The previous prime is 1125505613. The next prime is 1125505669. The reversal of 1125505668 is 8665055211.

It is not an unprimeable number, because it can be changed into a prime (1125505669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072408 + ... + 1073456.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 21125505668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125505668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

1125505668 is an abundant number, since it is smaller than the sum of its proper divisors (1948087932).

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

1125505668 is a wasteful number, since it uses less digits than its factorization.

1125505668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 1125505668 is about 33548.5568691114. The cubic root of 1125505668 is about 1040.1977151219.

The spelling of 1125505668 in words is "one billion, one hundred twenty-five million, five hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 241 318 371 482 636 723 742 964 1049 1113 1446 1484 1687 2098 2226 2892 3147 3374 4196 4452 5061 6294 6748 7343 10122 12588 12773 14686 20244 22029 25546 29372 38319 44058 51092 55597 76638 88116 89411 111194 153276 166791 178822 222388 252809 268233 333582 357644 389179 505618 536466 667164 758427 778358 1011236 1072932 1167537 1516854 1556716 1769663 2335074 3033708 3539326 4670148 5308989 7078652 10617978 13398877 21235956 26797754 40196631 53595508 80393262 93792139 160786524 187584278 281376417 375168556 562752834 1125505668