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2420102120 = 235597331399
BaseRepresentation
bin1001000000111111…
…1101001111101000
320020122211220222212
42100033331033220
514424021231440
61040051104252
7113654346212
oct22017751750
96218756885
102420102120
1110320a25a7
125765a2088
132c75066b7
1418d5b35b2
15e26e7465
hex903fd3e8

2420102120 has 64 divisors (see below), whose sum is σ = 5549040000. Its totient is φ = 949655808.

The previous prime is 2420102101. The next prime is 2420102137. The reversal of 2420102120 is 212010242.

It is a junction number, because it is equal to n+sod(n) for n = 2420102095 and 2420102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729181 + ... + 1730579.

It is an arithmetic number, because the mean of its divisors is an integer number (86703750).

Almost surely, 22420102120 is an apocalyptic number.

2420102120 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 2420102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774520000).

2420102120 is an abundant number, since it is smaller than the sum of its proper divisors (3128937880).

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

2420102120 is a wasteful number, since it uses less digits than its factorization.

2420102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2420102120 is about 49194.5334361451. The cubic root of 2420102120 is about 1342.5935734626.

Adding to 2420102120 its reverse (212010242), we get a palindrome (2632112362).

The spelling of 2420102120 in words is "two billion, four hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 733 1180 1399 1466 2360 2798 2932 3665 5596 5864 6995 7330 11192 13990 14660 27980 29320 43247 55960 82541 86494 165082 172988 216235 330164 345976 412705 432470 660328 825410 864940 1025467 1650820 1729880 2050934 3301640 4101868 5127335 8203736 10254670 20509340 41018680 60502553 121005106 242010212 302512765 484020424 605025530 1210051060 2420102120