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2420012430 = 2335116831193
BaseRepresentation
bin1001000000111110…
…0111010110001110
320020122200100222000
42100033213112032
514424010344210
61040045133130
7113653523553
oct22017472616
96218610860
102420012430
111032041180
1257655a1a6
132c74a4924
1418d58ca2a
15e26caac0
hex903e758e

2420012430 has 128 divisors (see below), whose sum is σ = 7056253440. Its totient is φ = 585319680.

The previous prime is 2420012423. The next prime is 2420012431. The reversal of 2420012430 is 342100242.

2420012430 is a `hidden beast` number, since 2 + 420 + 0 + 1 + 243 + 0 = 666.

2420012430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24200124302 = 11712920322709009800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420012431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2027914 + ... + 2029106.

It is an arithmetic number, because the mean of its divisors is an integer number (55126980).

Almost surely, 22420012430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420012430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528126720).

2420012430 is an abundant number, since it is smaller than the sum of its proper divisors (4636241010).

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

2420012430 is a wasteful number, since it uses less digits than its factorization.

2420012430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2420012430 is about 49193.6218426739. The cubic root of 2420012430 is about 1342.5769875640.

Adding to 2420012430 its reverse (342100242), we get a palindrome (2762112672).

The spelling of 2420012430 in words is "two billion, four hundred twenty million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 683 990 1193 1366 1485 2049 2386 2970 3415 3579 4098 5965 6147 6830 7158 7513 10245 10737 11930 12294 13123 15026 17895 18441 20490 21474 22539 26246 30735 32211 35790 36882 37565 39369 45078 53685 61470 64422 65615 67617 75130 78738 92205 107370 112695 118107 131230 135234 161055 184410 196845 202851 225390 236214 322110 338085 354321 393690 405702 590535 676170 708642 814819 1014255 1181070 1629638 1771605 2028510 2444457 3543210 4074095 4888914 7333371 8148190 8963009 12222285 14666742 17926018 22000113 24444570 26889027 36666855 44000226 44815045 53778054 73333710 80667081 89630090 110000565 134445135 161334162 220001130 242001243 268890270 403335405 484002486 806670810 1210006215 2420012430