Search a number
-
+
2420616200 = 235243674201
BaseRepresentation
bin1001000001000111…
…1010110000001000
320020200211001011212
42100101322300020
514424134204300
61040110112252
7113661620042
oct22021726010
96220731155
102420616200
111032413862
125767ab688
132c76566a2
1418d6a8a92
15e2799935
hex9047ac08

2420616200 has 96 divisors (see below), whose sum is σ = 5846158560. Its totient is φ = 931392000.

The previous prime is 2420616199. The next prime is 2420616203. The reversal of 2420616200 is 26160242.

It is not an unprimeable number, because it can be changed into a prime (2420616203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574100 + ... + 578300.

It is an arithmetic number, because the mean of its divisors is an integer number (60897485).

Almost surely, 22420616200 is an apocalyptic number.

2420616200 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 2420616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923079280).

2420616200 is an abundant number, since it is smaller than the sum of its proper divisors (3425542360).

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

2420616200 is a wasteful number, since it uses less digits than its factorization.

2420616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2420616200 is about 49199.7581294868. The cubic root of 2420616200 is about 1342.6886316605.

Adding to 2420616200 its reverse (26160242), we get a palindrome (2446776442).

The spelling of 2420616200 in words is "two billion, four hundred twenty million, six hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 67 86 100 134 172 200 215 268 335 344 430 536 670 860 1075 1340 1675 1720 2150 2680 2881 3350 4201 4300 5762 6700 8402 8600 11524 13400 14405 16804 21005 23048 28810 33608 42010 57620 72025 84020 105025 115240 144050 168040 180643 210050 281467 288100 361286 420100 562934 576200 722572 840200 903215 1125868 1407335 1445144 1806430 2251736 2814670 3612860 4516075 5629340 7036675 7225720 9032150 11258680 12103081 14073350 18064300 24206162 28146700 36128600 48412324 56293400 60515405 96824648 121030810 242061620 302577025 484123240 605154050 1210308100 2420616200