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1125730180 = 225372336529
BaseRepresentation
bin100001100011001…
…0100011110000100
32220110021000111101
41003012110132010
54301141331210
6303412145444
736616356121
oct10306243604
92813230441
101125730180
11528499823
12275008284
1314c2bc343
14a9719748
1568c69a3a
hex43194784

1125730180 has 48 divisors (see below), whose sum is σ = 2438719920. Its totient is φ = 436174848.

The previous prime is 1125730163. The next prime is 1125730189. The reversal of 1125730180 is 810375211.

It can be written as a sum of positive squares in 8 ways, for example, as 66618244 + 1059111936 = 8162^2 + 32544^2 .

It is not an unprimeable number, because it can be changed into a prime (1125730189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169156 + ... + 175684.

It is an arithmetic number, because the mean of its divisors is an integer number (50806665).

Almost surely, 21125730180 is an apocalyptic number.

1125730180 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 1125730180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219359960).

1125730180 is an abundant number, since it is smaller than the sum of its proper divisors (1312989740).

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

1125730180 is a wasteful number, since it uses less digits than its factorization.

1125730180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1125730180 is about 33551.9027776369. The cubic root of 1125730180 is about 1040.2668755444.

The spelling of 1125730180 in words is "one billion, one hundred twenty-five million, seven hundred thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 233 370 466 740 932 1165 2330 4660 6529 8621 13058 17242 26116 32645 34484 43105 65290 86210 130580 172420 241573 483146 966292 1207865 1521257 2415730 3042514 4831460 6085028 7606285 15212570 30425140 56286509 112573018 225146036 281432545 562865090 1125730180