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2420403020 = 2257241591021
BaseRepresentation
bin1001000001000100…
…0110101101001100
320020200102012202022
42100101012231030
514424110344040
61040101345312
7113660041400
oct22021065514
96220365668
102420403020
111032288682
12576708238
132c75b0649
1418d651100
15e27566b5
hex90446b4c

2420403020 has 144 divisors (see below), whose sum is σ = 6165603360. Its totient is φ = 795110400.

The previous prime is 2420403019. The next prime is 2420403031. The reversal of 2420403020 is 203040242.

It is a self number, because there is not a number n which added to its sum of digits gives 2420403020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370110 + ... + 2371130.

It is an arithmetic number, because the mean of its divisors is an integer number (42816690).

Almost surely, 22420403020 is an apocalyptic number.

2420403020 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 2420403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082801680).

2420403020 is an abundant number, since it is smaller than the sum of its proper divisors (3745200340).

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

2420403020 is a wasteful number, since it uses less digits than its factorization.

2420403020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2420403020 is about 49197.5916077200. The cubic root of 2420403020 is about 1342.6492143191.

Adding to 2420403020 its reverse (203040242), we get a palindrome (2623443262).

The spelling of 2420403020 in words is "two billion, four hundred twenty million, four hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 59 70 82 98 118 140 164 196 205 236 245 287 295 410 413 490 574 590 820 826 980 1021 1148 1180 1435 1652 2009 2042 2065 2419 2870 2891 4018 4084 4130 4838 5105 5740 5782 7147 8036 8260 9676 10045 10210 11564 12095 14294 14455 16933 20090 20420 24190 28588 28910 33866 35735 40180 41861 48380 50029 57820 60239 67732 71470 83722 84665 100058 118531 120478 142940 167444 169330 200116 209305 237062 240956 250145 293027 301195 338660 418610 421673 474124 500290 586054 592655 602390 837220 843346 1000580 1172108 1185310 1204780 1465135 1686692 2051189 2108365 2370620 2469799 2930270 2951711 4102378 4216730 4939598 5860540 5903422 8204756 8433460 9879196 10255945 11806844 12348995 14758555 17288593 20511890 24697990 29517110 34577186 41023780 49395980 59034220 69154372 86442965 121020151 172885930 242040302 345771860 484080604 605100755 1210201510 2420403020