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2440300020 = 2235173077793
BaseRepresentation
bin1001000101110100…
…0000010111110100
320022001212002022020
42101131000113310
514444204100040
61042052033140
7114321131214
oct22135002764
96261762266
102440300020
111042538584
125813027b0
132cb758c12
14192150244
15e4386cd0
hex917405f4

2440300020 has 96 divisors (see below), whose sum is σ = 7259269248. Its totient is φ = 610394112.

The previous prime is 2440300013. The next prime is 2440300081. The reversal of 2440300020 is 200030442.

It is a happy number.

It is a super-2 number, since 2×24403000202 = 11910128375224000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309244 + ... + 317036.

It is an arithmetic number, because the mean of its divisors is an integer number (75617388).

Almost surely, 22440300020 is an apocalyptic number.

2440300020 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 2440300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629634624).

2440300020 is an abundant number, since it is smaller than the sum of its proper divisors (4818969228).

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

2440300020 is a wasteful number, since it uses less digits than its factorization.

2440300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2440300020 is about 49399.3929112494. The cubic root of 2440300020 is about 1346.3182755872.

Adding to 2440300020 its reverse (200030442), we get a palindrome (2640330462).

The spelling of 2440300020 in words is "two billion, four hundred forty million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 307 340 510 614 921 1020 1228 1535 1842 3070 3684 4605 5219 6140 7793 9210 10438 15586 15657 18420 20876 23379 26095 31172 31314 38965 46758 52190 62628 77930 78285 93516 104380 116895 132481 155860 156570 233790 264962 313140 397443 467580 529924 662405 794886 1324810 1589772 1987215 2392451 2649620 3974430 4784902 7177353 7948860 9569804 11962255 14354706 23924510 28709412 35886765 40671667 47849020 71773530 81343334 122015001 143547060 162686668 203358335 244030002 406716670 488060004 610075005 813433340 1220150010 2440300020