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2420403440 = 245713332473
BaseRepresentation
bin1001000001000100…
…0110110011110000
320020200102020022212
42100101012303300
514424110402230
61040101351252
7113660042540
oct22021066360
96220366285
102420403440
111032288a24
12576708528
132c75b08b0
1418d651320
15e2756895
hex90446cf0

2420403440 has 80 divisors (see below), whose sum is σ = 6926098368. Its totient is φ = 766015488.

The previous prime is 2420403431. The next prime is 2420403443. The reversal of 2420403440 is 443040242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420403443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158957 + ... + 173516.

Almost surely, 22420403440 is an apocalyptic number.

2420403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420403440 is an abundant number, since it is smaller than the sum of its proper divisors (4505694928).

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

2420403440 is a wasteful number, since it uses less digits than its factorization.

2420403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332506 (or 332500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2420403440 is about 49197.5958762214. The cubic root of 2420403440 is about 1342.6492919801.

Adding to 2420403440 its reverse (443040242), we get a palindrome (2863443682).

The spelling of 2420403440 in words is "two billion, four hundred twenty million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 332473 664946 1329892 1662365 2327311 2659784 3324730 4322149 4654622 5319568 6649460 8644298 9309244 11636555 13298920 17288596 18618488 21610745 23273110 26597840 30255043 34577192 37236976 43221490 46546220 60510086 69154384 86442980 93092440 121020172 151275215 172885960 186184880 242040344 302550430 345771920 484080688 605100860 1210201720 2420403440