Search a number
-
+
211125060 = 223256171901
BaseRepresentation
bin11001001010110…
…00001101000100
3112201021021010200
430211120031010
5413022000220
632541050500
75142350646
oct1445301504
9481237120
10211125060
11a91a1423
125a856a30
1334980c93
142007a896
1513805890
hexc958344

211125060 has 72 divisors (see below), whose sum is σ = 641788056. Its totient is φ = 56179200.

The previous prime is 211125053. The next prime is 211125067. The reversal of 211125060 is 60521112.

It is an interprime number because it is at equal distance from previous prime (211125053) and next prime (211125067).

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 199996164 = 3336^2 + 14142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211125067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110110 + ... + 112010.

It is an arithmetic number, because the mean of its divisors is an integer number (8913723).

Almost surely, 2211125060 is an apocalyptic number.

211125060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211125060 is an abundant number, since it is smaller than the sum of its proper divisors (430662996).

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

211125060 is a wasteful number, since it uses less digits than its factorization.

211125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 211125060 is about 14530.1431513939. The cubic root of 211125060 is about 595.4517765559.

Adding to 211125060 its reverse (60521112), we get a palindrome (271646172).

The spelling of 211125060 in words is "two hundred eleven million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 617 1234 1851 1901 2468 3085 3702 3802 5553 5703 6170 7404 7604 9255 9505 11106 11406 12340 17109 18510 19010 22212 22812 27765 28515 34218 37020 38020 55530 57030 68436 85545 111060 114060 171090 342180 1172917 2345834 3518751 4691668 5864585 7037502 10556253 11729170 14075004 17593755 21112506 23458340 35187510 42225012 52781265 70375020 105562530 211125060