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240044020 = 22529413869
BaseRepresentation
bin11100100111011…
…00011111110100
3121201200111111021
432103230133310
5442422402040
635452550524
75643224536
oct1623543764
9551614437
10240044020
11113553697
1268482444
133a967ba8
1423c47856
151611924a
hexe4ec7f4

240044020 has 24 divisors (see below), whose sum is σ = 521476200. Its totient is φ = 92706432.

The previous prime is 240044011. The next prime is 240044023. The reversal of 240044020 is 20440042.

It can be written as a sum of positive squares in 4 ways, for example, as 73479184 + 166564836 = 8572^2 + 12906^2 .

It is a super-2 number, since 2×2400440202 = 115242263075520800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240043985 and 240044003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240044023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206355 + ... + 207514.

It is an arithmetic number, because the mean of its divisors is an integer number (21728175).

Almost surely, 2240044020 is an apocalyptic number.

240044020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240044020 is an abundant number, since it is smaller than the sum of its proper divisors (281432180).

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

240044020 is a wasteful number, since it uses less digits than its factorization.

240044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413907 (or 413905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240044020 is about 15493.3540590797. The cubic root of 240044020 is about 621.4844934167.

Adding to 240044020 its reverse (20440042), we get a palindrome (260484062).

The spelling of 240044020 in words is "two hundred forty million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 413869 827738 1655476 2069345 4138690 8277380 12002201 24004402 48008804 60011005 120022010 240044020