Search a number
-
+
1200111140 = 2251572291669
BaseRepresentation
bin100011110001000…
…0011111000100100
310002122012221222202
41013202003320210
54424212024030
6315030314032
741511530204
oct10742037044
93078187882
101200111140
11566482298
12295ab8918
13161832c47
14b555c404
157055d745
hex47883e24

1200111140 has 48 divisors (see below), whose sum is σ = 2548887600. Its totient is φ = 474619392.

The previous prime is 1200111139. The next prime is 1200111149. The reversal of 1200111140 is 411110021.

It can be written as a sum of positive squares in 8 ways, for example, as 11792356 + 1188318784 = 3434^2 + 34472^2 .

It is not an unprimeable number, because it can be changed into a prime (1200111149) 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 15 ways as a sum of consecutive naturals, for example, 718226 + ... + 719894.

It is an arithmetic number, because the mean of its divisors is an integer number (53101825).

Almost surely, 21200111140 is an apocalyptic number.

1200111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200111140 is an abundant number, since it is smaller than the sum of its proper divisors (1348776460).

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

1200111140 is a wasteful number, since it uses less digits than its factorization.

1200111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1200111140 is about 34642.6202819590. The cubic root of 1200111140 is about 1062.6913748013.

Adding to 1200111140 its reverse (411110021), we get a palindrome (1611221161).

The spelling of 1200111140 in words is "one billion, two hundred million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 157 229 314 458 628 785 916 1145 1570 1669 2290 3140 3338 4580 6676 8345 16690 33380 35953 71906 143812 179765 262033 359530 382201 524066 719060 764402 1048132 1310165 1528804 1911005 2620330 3822010 5240660 7644020 60005557 120011114 240022228 300027785 600055570 1200111140