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2420214040 = 235617091399
BaseRepresentation
bin1001000001000001…
…1000100100011000
320020200001121112001
42100100120210120
514424033322130
61040053330344
7113655323416
oct22020304430
96220047461
102420214040
1110321696a2
125766369b4
132c754561a
1418d6022b6
15e271a6ca
hex90418918

2420214040 has 64 divisors (see below), whose sum is σ = 5546520000. Its totient is φ = 950192640.

The previous prime is 2420214023. The next prime is 2420214073. The reversal of 2420214040 is 404120242.

It is a junction number, because it is equal to n+sod(n) for n = 2420213999 and 2420214017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729261 + ... + 1730659.

It is an arithmetic number, because the mean of its divisors is an integer number (86664375).

Almost surely, 22420214040 is an apocalyptic number.

2420214040 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 2420214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773260000).

2420214040 is an abundant number, since it is smaller than the sum of its proper divisors (3126305960).

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

2420214040 is a wasteful number, since it uses less digits than its factorization.

2420214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2420214040 is about 49195.6709477572. The cubic root of 2420214040 is about 1342.6142696631.

Adding to 2420214040 its reverse (404120242), we get a palindrome (2824334282).

The spelling of 2420214040 in words is "two billion, four hundred twenty million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 709 1220 1399 1418 2440 2798 2836 3545 5596 5672 6995 7090 11192 13990 14180 27980 28360 43249 55960 85339 86498 170678 172996 216245 341356 345992 426695 432490 682712 853390 864980 991891 1706780 1729960 1983782 3413560 3967564 4959455 7935128 9918910 19837820 39675640 60505351 121010702 242021404 302526755 484042808 605053510 1210107020 2420214040