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2420242032 = 243135373181
BaseRepresentation
bin1001000001000001…
…1111011001110000
320020200010000220210
42100100133121300
514424040221112
61040054104120
7113655501135
oct22020373160
96220100823
102420242032
11103218872a
1257664b040
132c75552a0
1418d60c58c
15e2723b3c
hex9041f670

2420242032 has 80 divisors (see below), whose sum is σ = 6860373408. Its totient is φ = 730629120.

The previous prime is 2420242031. The next prime is 2420242049. The reversal of 2420242032 is 2302420242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420242031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3519 + ... + 69662.

Almost surely, 22420242032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430186704).

2420242032 is an abundant number, since it is smaller than the sum of its proper divisors (4440131376).

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

2420242032 is a wasteful number, since it uses less digits than its factorization.

2420242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73258 (or 73252 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2420242032 is about 49195.9554435118. The cubic root of 2420242032 is about 1342.6194458326.

Adding to 2420242032 its reverse (2302420242), we get a palindrome (4722662274).

The spelling of 2420242032 in words is "two billion, four hundred twenty million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 5512 8268 11024 16536 33072 73181 146362 219543 292724 439086 585448 878172 951353 1170896 1756344 1902706 2854059 3512688 3805412 3878593 5708118 7610824 7757186 11416236 11635779 15221648 15514372 22832472 23271558 31028744 45664944 46543116 50421709 62057488 93086232 100843418 151265127 186172464 201686836 302530254 403373672 605060508 806747344 1210121016 2420242032