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2420205400 = 235241714157
BaseRepresentation
bin1001000001000001…
…0110011101011000
320020200001011200001
42100100112131120
514424033033100
61040053222344
7113655256264
oct22020263530
96220034601
102420205400
111032163158
125766319b4
132c7541702
1418d5dd0a4
15e2717d6a
hex90416758

2420205400 has 96 divisors (see below), whose sum is σ = 5846813280. Its totient is φ = 930944000.

The previous prime is 2420205379. The next prime is 2420205407. The reversal of 2420205400 is 45020242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420205407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580122 + ... + 584278.

It is an arithmetic number, because the mean of its divisors is an integer number (60904305).

Almost surely, 22420205400 is an apocalyptic number.

2420205400 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 2420205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923406640).

2420205400 is an abundant number, since it is smaller than the sum of its proper divisors (3426607880).

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

2420205400 is a wasteful number, since it uses less digits than its factorization.

2420205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2420205400 is about 49195.5831350742. The cubic root of 2420205400 is about 1342.6126719806.

Adding to 2420205400 its reverse (45020242), we get a palindrome (2465225642).

The spelling of 2420205400 in words is "two billion, four hundred twenty million, two hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 71 82 100 142 164 200 205 284 328 355 410 568 710 820 1025 1420 1640 1775 2050 2840 2911 3550 4100 4157 5822 7100 8200 8314 11644 14200 14555 16628 20785 23288 29110 33256 41570 58220 72775 83140 103925 116440 145550 166280 170437 207850 291100 295147 340874 415700 582200 590294 681748 831400 852185 1180588 1363496 1475735 1704370 2361176 2951470 3408740 4260925 5902940 6817480 7378675 8521850 11805880 12101027 14757350 17043700 24202054 29514700 34087400 48404108 59029400 60505135 96808216 121010270 242020540 302525675 484041080 605051350 1210102700 2420205400