Search a number
-
+
461440120 = 23521154673
BaseRepresentation
bin11011100000010…
…000010001111000
31012011021120211211
4123200100101320
51421112040440
6113442132504
714302114321
oct3340202170
91164246754
10461440120
1121751a879
1210a651134
13747a3bbb
14453d9448
152a79ceea
hex1b810478

461440120 has 32 divisors (see below), whose sum is σ = 1043179920. Its totient is φ = 183697920.

The previous prime is 461440097. The next prime is 461440127. The reversal of 461440120 is 21044164.

It is a super-2 number, since 2×4614401202 = 425853968691228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461440091 and 461440100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461440127) 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 7 ways as a sum of consecutive naturals, for example, 18897 + ... + 35776.

Almost surely, 2461440120 is an apocalyptic number.

461440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461440120 is an abundant number, since it is smaller than the sum of its proper divisors (581739800).

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

461440120 is a wasteful number, since it uses less digits than its factorization.

461440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54895 (or 54891 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 461440120 is about 21481.1573245019. The cubic root of 461440120 is about 772.7489979086.

Adding to 461440120 its reverse (21044164), we get a palindrome (482484284).

The spelling of 461440120 in words is "four hundred sixty-one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 8440 54673 109346 218692 273365 437384 546730 1093460 2186920 11536003 23072006 46144012 57680015 92288024 115360030 230720060 461440120