Search a number
-
+
240145020 = 22335444713
BaseRepresentation
bin11100101000001…
…01001001111100
3121201212122001000
432110011021330
5442434120040
635455050300
75644125153
oct1624051174
9551778030
10240145020
11113612565
1268510990
133a9a1b5b
1423c7259a
1516139130
hexe50527c

240145020 has 48 divisors (see below), whose sum is σ = 747119520. Its totient is φ = 64038528.

The previous prime is 240145019. The next prime is 240145021. The reversal of 240145020 is 20541042.

240145020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240145019) and next prime (240145021).

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 = 240144984 and 240145002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240145021) 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, 221817 + ... + 222896.

It is an arithmetic number, because the mean of its divisors is an integer number (15564990).

Almost surely, 2240145020 is an apocalyptic number.

240145020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240145020 is an abundant number, since it is smaller than the sum of its proper divisors (506974500).

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

240145020 is a wasteful number, since it uses less digits than its factorization.

240145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444731 (or 444723 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240145020 is about 15496.6131783690. The cubic root of 240145020 is about 621.5716456708.

Adding to 240145020 its reverse (20541042), we get a palindrome (260686062).

The spelling of 240145020 in words is "two hundred forty million, one hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 444713 889426 1334139 1778852 2223565 2668278 4002417 4447130 5336556 6670695 8004834 8894260 12007251 13341390 16009668 20012085 24014502 26682780 40024170 48029004 60036255 80048340 120072510 240145020