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2021240424 = 2337311632381
BaseRepresentation
bin111100001111001…
…1010111001101000
312012212022122121110
41320132122321220
513114414143144
6532322110320
7101042155140
oct17036327150
95185278543
102021240424
11947a34935
12484aab3a0
132629a3268
14152627920
15bc6ab0b9
hex7879ae68

2021240424 has 128 divisors (see below), whose sum is σ = 6000353280. Its totient is φ = 555206400.

The previous prime is 2021240423. The next prime is 2021240453. The reversal of 2021240424 is 4240421202.

It is a super-2 number, since 2×20212404242 = 8170825703223399552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2021240424.

It is not an unprimeable number, because it can be changed into a prime (2021240423) 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 31 ways as a sum of consecutive naturals, for example, 847714 + ... + 850094.

It is an arithmetic number, because the mean of its divisors is an integer number (46877760).

Almost surely, 22021240424 is an apocalyptic number.

2021240424 is a gapful number since it is divisible by the number (24) 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 2021240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000176640).

2021240424 is an abundant number, since it is smaller than the sum of its proper divisors (3979112856).

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

2021240424 is a wasteful number, since it uses less digits than its factorization.

2021240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2021240424 is about 44958.2075265463. The cubic root of 2021240424 is about 1264.3655624941.

Adding to 2021240424 its reverse (4240421202), we get a palindrome (6261661626).

The spelling of 2021240424 in words is "two billion, twenty-one million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 163 168 186 217 248 326 372 434 489 651 652 744 868 978 1141 1302 1304 1736 1956 2282 2381 2604 3423 3912 4564 4762 5053 5208 6846 7143 9128 9524 10106 13692 14286 15159 16667 19048 20212 27384 28572 30318 33334 35371 40424 50001 57144 60636 66668 70742 73811 100002 106113 121272 133336 141484 147622 200004 212226 221433 282968 295244 388103 400008 424452 442866 516677 590488 776206 848904 885732 1033354 1164309 1550031 1552412 1771464 2066708 2328618 2716721 3100062 3104824 4133416 4657236 5433442 6200124 8150163 9314472 10866884 12031193 12400248 16300326 21733768 24062386 32600652 36093579 48124772 65201304 72187158 84218351 96249544 144374316 168436702 252655053 288748632 336873404 505310106 673746808 1010620212 2021240424