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2420311040 = 2105767531
BaseRepresentation
bin1001000001000011…
…0000010000000000
320020200020112120122
42100100300100000
514424044423130
61040055355412
7113656206260
oct22020602000
96220215518
102420311040
111032225564
12576682b68
132c757a814
1418d6297a0
15e27392e5
hex90430400

2420311040 has 88 divisors (see below), whose sum is σ = 6635424192. Its totient is φ = 829808640.

The previous prime is 2420311031. The next prime is 2420311073. The reversal of 2420311040 is 401130242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2075 + ... + 69605.

Almost surely, 22420311040 is an apocalyptic number.

2420311040 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 2420311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317712096).

2420311040 is an abundant number, since it is smaller than the sum of its proper divisors (4215113152).

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

2420311040 is an equidigital number, since it uses as much as digits as its factorization.

2420311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67563 (or 67545 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2420311040 is about 49196.6567969816. The cubic root of 2420311040 is about 1342.6322063473.

Adding to 2420311040 its reverse (401130242), we get a palindrome (2821441282).

The spelling of 2420311040 in words is "two billion, four hundred twenty million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 67531 135062 270124 337655 472717 540248 675310 945434 1080496 1350620 1890868 2160992 2363585 2701240 3781736 4321984 4727170 5402480 7563472 8643968 9454340 10804960 15126944 17287936 18908680 21609920 30253888 34575872 37817360 43219840 60507776 69151744 75634720 86439680 121015552 151269440 172879360 242031104 302538880 345758720 484062208 605077760 1210155520 2420311040