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2420104000 = 2653302513
BaseRepresentation
bin1001000000111111…
…1101101101000000
320020122212000120111
42100033331231000
514424021312000
61040051121104
7113654354536
oct22017755500
96218760514
102420104000
1110320a3a56
125765a3194
132c7507502
1418d5b4156
15e26e7cba
hex903fdb40

2420104000 has 56 divisors (see below), whose sum is σ = 5993407368. Its totient is φ = 968038400.

The previous prime is 2420103947. The next prime is 2420104009. The reversal of 2420104000 is 4010242.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 2398648576 = 4632^2 + 48976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420104009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143257 + ... + 159256.

Almost surely, 22420104000 is an apocalyptic number.

2420104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420104000 is an abundant number, since it is smaller than the sum of its proper divisors (3573303368).

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

2420104000 is an equidigital number, since it uses as much as digits as its factorization.

2420104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302540 (or 302520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2420104000 is about 49194.5525439555. The cubic root of 2420104000 is about 1342.5939211167.

Adding to 2420104000 its reverse (4010242), we get a palindrome (2424114242).

The spelling of 2420104000 in words is "two billion, four hundred twenty million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 302513 605026 1210052 1512565 2420104 3025130 4840208 6050260 7562825 9680416 12100520 15125650 19360832 24201040 30251300 37814125 48402080 60502600 75628250 96804160 121005200 151256500 242010400 302513000 484020800 605026000 1210052000 2420104000