Search a number
-
+
2420020240 = 245117013923
BaseRepresentation
bin1001000000111110…
…1001010000010000
320020122200202200021
42100033221100100
514424011121430
61040045233224
7113653555411
oct22017512020
96218622607
102420020240
111032047030
12576562814
132c74a8351
1418d591808
15e26cd07a
hex903e9410

2420020240 has 80 divisors (see below), whose sum is σ = 6148374336. Its totient is φ = 878528000.

The previous prime is 2420020223. The next prime is 2420020241. The reversal of 2420020240 is 420200242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2420020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614919 + ... + 618841.

Almost surely, 22420020240 is an apocalyptic number.

2420020240 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 2420020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074187168).

2420020240 is an abundant number, since it is smaller than the sum of its proper divisors (3728354096).

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

2420020240 is a wasteful number, since it uses less digits than its factorization.

2420020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4642 counting only the distinct ones).

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

The square root of 2420020240 is about 49193.7012228192. The cubic root of 2420020240 is about 1342.5784318424.

Adding to 2420020240 its reverse (420200242), we get a palindrome (2840220482).

It can be divided in two parts, 24200202 and 40, that added together give a palindrome (24200242).

The spelling of 2420020240 in words is "two billion, four hundred twenty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 701 880 1402 2804 3505 3923 5608 7010 7711 7846 11216 14020 15422 15692 19615 28040 30844 31384 38555 39230 43153 56080 61688 62768 77110 78460 86306 123376 154220 156920 172612 215765 308440 313840 345224 431530 616880 690448 863060 1726120 2750023 3452240 5500046 11000092 13750115 22000184 27500230 30250253 44000368 55000460 60500506 110000920 121001012 151251265 220001840 242002024 302502530 484004048 605005060 1210010120 2420020240