Search a number
-
+
206124120 = 23325572567
BaseRepresentation
bin11000100100100…
…11010001011000
3112100212012010200
430102103101120
5410231432440
632241542200
75052011646
oct1422232130
9470765120
10206124120
11a6396114
1259044960
133391c947
141d538196
1513168c30
hexc493458

206124120 has 48 divisors (see below), whose sum is σ = 669904560. Its totient is φ = 54966336.

The previous prime is 206124119. The next prime is 206124157. The reversal of 206124120 is 21421602.

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

It is a junction number, because it is equal to n+sod(n) for n = 206124093 and 206124102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 285924 + ... + 286643.

It is an arithmetic number, because the mean of its divisors is an integer number (13956345).

Almost surely, 2206124120 is an apocalyptic number.

206124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206124120 is an abundant number, since it is smaller than the sum of its proper divisors (463780440).

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

206124120 is a wasteful number, since it uses less digits than its factorization.

206124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572584 (or 572577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 206124120 is about 14357.0233683727. The cubic root of 206124120 is about 590.7126502991.

Adding to 206124120 its reverse (21421602), we get a palindrome (227545722).

The spelling of 206124120 in words is "two hundred six million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 572567 1145134 1717701 2290268 2862835 3435402 4580536 5153103 5725670 6870804 8588505 10306206 11451340 13741608 17177010 20612412 22902680 25765515 34354020 41224824 51531030 68708040 103062060 206124120