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2420411240 = 235132379677
BaseRepresentation
bin1001000001000100…
…1000101101101000
320020200102122000202
42100101020231220
514424111124430
61040101451332
7113660104352
oct22021105550
96220378022
102420411240
111032293875
12576710b48
132c75b4300
1418d6540d2
15e2758d45
hex90448b68

2420411240 has 96 divisors (see below), whose sum is σ = 6057073080. Its totient is φ = 869446656.

The previous prime is 2420411239. The next prime is 2420411249. The reversal of 2420411240 is 421140242.

It can be written as a sum of positive squares in 12 ways, for example, as 150651076 + 2269760164 = 12274^2 + 47642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2420411249) 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 23 ways as a sum of consecutive naturals, for example, 245282 + ... + 254958.

Almost surely, 22420411240 is an apocalyptic number.

2420411240 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 2420411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028536540).

2420411240 is an abundant number, since it is smaller than the sum of its proper divisors (3636661840).

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

2420411240 is a wasteful number, since it uses less digits than its factorization.

2420411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2420411240 is about 49197.6751483238. The cubic root of 2420411240 is about 1342.6507342539.

Adding to 2420411240 its reverse (421140242), we get a palindrome (2841551482).

The spelling of 2420411240 in words is "two billion, four hundred twenty million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 169 185 260 296 338 370 481 520 676 740 845 962 1352 1480 1690 1924 2405 3380 3848 4810 6253 6760 9620 9677 12506 19240 19354 25012 31265 38708 48385 50024 62530 77416 96770 125060 125801 193540 250120 251602 358049 387080 503204 629005 716098 1006408 1258010 1432196 1635413 1790245 2516020 2864392 3270826 3580490 4654637 5032040 6541652 7160980 8177065 9309274 13083304 14321960 16354130 18618548 23273185 32708260 37237096 46546370 60510281 65416520 93092740 121020562 186185480 242041124 302551405 484082248 605102810 1210205620 2420411240