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1125850500 = 2232531714717
BaseRepresentation
bin100001100011011…
…0001110110000100
32220110111010112200
41003012301312010
54301204204000
6303414514500
736620366655
oct10306616604
92813433480
101125850500
11528571165
12275065a30
1314c332038
14a974b52c
1568c90500
hex431b1d84

1125850500 has 144 divisors (see below), whose sum is σ = 3760861104. Its totient is φ = 282547200.

The previous prime is 1125850493. The next prime is 1125850507. The reversal of 1125850500 is 50585211.

It is an interprime number because it is at equal distance from previous prime (1125850493) and next prime (1125850507).

It can be written as a sum of positive squares in 8 ways, for example, as 330948864 + 794901636 = 18192^2 + 28194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125850507) 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 47 ways as a sum of consecutive naturals, for example, 69142 + ... + 83858.

It is an arithmetic number, because the mean of its divisors is an integer number (26117091).

Almost surely, 21125850500 is an apocalyptic number.

1125850500 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 1125850500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880430552).

1125850500 is an abundant number, since it is smaller than the sum of its proper divisors (2635010604).

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

1125850500 is a wasteful number, since it uses less digits than its factorization.

1125850500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14759 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1125850500 is about 33553.6957725971. The cubic root of 1125850500 is about 1040.3039360686.

The spelling of 1125850500 in words is "one billion, one hundred twenty-five million, eight hundred fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 125 150 153 170 180 204 225 250 255 300 306 340 375 425 450 500 510 612 750 765 850 900 1020 1125 1275 1500 1530 1700 2125 2250 2550 3060 3825 4250 4500 5100 6375 7650 8500 12750 14717 15300 19125 25500 29434 38250 44151 58868 73585 76500 88302 132453 147170 176604 220755 250189 264906 294340 367925 441510 500378 529812 662265 735850 750567 883020 1000756 1103775 1250945 1324530 1471700 1501134 1839625 2207550 2251701 2501890 2649060 3002268 3311325 3679250 3752835 4415100 4503402 5003780 5518875 6254725 6622650 7358500 7505670 9006804 11037750 11258505 12509450 13245300 15011340 16556625 18764175 22075500 22517010 25018900 31273625 33113250 37528350 45034020 56292525 62547250 66226500 75056700 93820875 112585050 125094500 187641750 225170100 281462625 375283500 562925250 1125850500