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2420305320 = 233567461653
BaseRepresentation
bin1001000001000010…
…1110110110101000
320020200020020201210
42100100232312220
514424044232240
61040055313120
7113656153506
oct22020566650
96220206653
102420305320
111032221234
1257667b7a0
132c7578034
1418d627676
15e2737780
hex9042eda8

2420305320 has 128 divisors (see below), whose sum is σ = 7396583040. Its totient is φ = 633431040.

The previous prime is 2420305313. The next prime is 2420305331. The reversal of 2420305320 is 235030242.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3706114 + ... + 3706766.

It is an arithmetic number, because the mean of its divisors is an integer number (57785805).

Almost surely, 22420305320 is an apocalyptic number.

2420305320 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 2420305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698291520).

2420305320 is an abundant number, since it is smaller than the sum of its proper divisors (4976277720).

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

2420305320 is a wasteful number, since it uses less digits than its factorization.

2420305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2420305320 is about 49196.5986629157. The cubic root of 2420305320 is about 1342.6311486510.

Adding to 2420305320 its reverse (235030242), we get a palindrome (2655335562).

The spelling of 2420305320 in words is "two billion, four hundred twenty million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 461 536 653 670 804 922 1005 1306 1340 1383 1608 1844 1959 2010 2305 2612 2680 2766 3265 3688 3918 4020 4610 5224 5532 6530 6915 7836 8040 9220 9795 11064 13060 13830 15672 18440 19590 26120 27660 30887 39180 43751 55320 61774 78360 87502 92661 123548 131253 154435 175004 185322 218755 247096 262506 301033 308870 350008 370644 437510 463305 525012 602066 617740 656265 741288 875020 903099 926610 1050024 1204132 1235480 1312530 1505165 1750040 1806198 1853220 2408264 2625060 3010330 3612396 3706440 4515495 5250120 6020660 7224792 9030990 12041320 18061980 20169211 36123960 40338422 60507633 80676844 100846055 121015266 161353688 201692110 242030532 302538165 403384220 484061064 605076330 806768440 1210152660 2420305320