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2024541420 = 22351123197677
BaseRepresentation
bin111100010101100…
…0000110011101100
312020002112100201120
41320223000303230
513121240311140
6532520540540
7101112214056
oct17053006354
95202470646
102024541420
11949889a30
12486021750
1326358a905
14152c468d6
15bcb0e1d0
hex78ac0cec

2024541420 has 192 divisors, whose sum is σ = 6495261696. Its totient is φ = 466385920.

The previous prime is 2024541367. The next prime is 2024541433. The reversal of 2024541420 is 241454202.

It is a happy number.

It is a super-2 number, since 2×20245414202 = 8197535922591232800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2990122 + ... + 2990798.

It is an arithmetic number, because the mean of its divisors is an integer number (33829488).

Almost surely, 22024541420 is an apocalyptic number.

2024541420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247630848).

2024541420 is an abundant number, since it is smaller than the sum of its proper divisors (4470720276).

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

2024541420 is a wasteful number, since it uses less digits than its factorization.

2024541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2024541420 is about 44994.9043781626. The cubic root of 2024541420 is about 1265.0534891743.

Adding to 2024541420 its reverse (241454202), we get a palindrome (2265995622).

The spelling of 2024541420 in words is "two billion, twenty-four million, five hundred forty-one thousand, four hundred twenty".