Search a number
-
+
240420132 = 223217893733
BaseRepresentation
bin11100101010010…
…00010100100100
3121202101121102100
432111020110210
5443021421012
635505012100
75646352221
oct1625102444
9552347370
10240420132
11113790227
1268624030
133aa6a144
1423d04948
15161908dc
hexe548524

240420132 has 36 divisors (see below), whose sum is σ = 608231260. Its totient is φ = 80073792.

The previous prime is 240420107. The next prime is 240420133. The reversal of 240420132 is 231024042.

240420132 is a `hidden beast` number, since 240 + 420 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187799616 + 52620516 = 13704^2 + 7254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (240420133) 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 11 ways as a sum of consecutive naturals, for example, 62538 + ... + 66270.

Almost surely, 2240420132 is an apocalyptic number.

It is an amenable number.

240420132 is an abundant number, since it is smaller than the sum of its proper divisors (367811128).

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

240420132 is a wasteful number, since it uses less digits than its factorization.

240420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240420132 is about 15505.4871577774. The cubic root of 240420132 is about 621.8089141898.

Adding to 240420132 its reverse (231024042), we get a palindrome (471444174).

The spelling of 240420132 in words is "two hundred forty million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1789 3578 3733 5367 7156 7466 10734 11199 14932 16101 21468 22398 32202 33597 44796 64404 67194 134388 6678337 13356674 20035011 26713348 40070022 60105033 80140044 120210066 240420132