Search a number
-
+
2424102000 = 24353404017
BaseRepresentation
bin1001000001111100…
…1101110001110000
320020221101010210120
42100133031301300
514431032231000
61040312530240
7114033345525
oct22037156160
96227333716
102424102000
111034384791
125779b0980
132c82a71a8
1418dd3514c
15e2c376a0
hex907cdc70

2424102000 has 80 divisors (see below), whose sum is σ = 7815324192. Its totient is φ = 646425600.

The previous prime is 2424101987. The next prime is 2424102007. The reversal of 2424102000 is 2014242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424102007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196009 + ... + 208008.

Almost surely, 22424102000 is an apocalyptic number.

2424102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424102000 is an abundant number, since it is smaller than the sum of its proper divisors (5391222192).

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

2424102000 is a wasteful number, since it uses less digits than its factorization.

2424102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404043 (or 404027 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2424102000 is about 49235.1703561590. The cubic root of 2424102000 is about 1343.3328339082.

Adding to 2424102000 its reverse (2014242), we get a palindrome (2426116242).

The spelling of 2424102000 in words is "two billion, four hundred twenty-four million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 404017 808034 1212051 1616068 2020085 2424102 3232136 4040170 4848204 6060255 6464272 8080340 9696408 10100425 12120510 16160680 19392816 20200850 24241020 30301275 32321360 40401700 48482040 50502125 60602550 80803400 96964080 101004250 121205100 151506375 161606800 202008500 242410200 303012750 404017000 484820400 606025500 808034000 1212051000 2424102000