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2420130000 = 2435480671
BaseRepresentation
bin1001000001000000…
…0100000011010000
320020122220100020110
42100100010003100
514424023130000
61040051441320
7113654523411
oct22020040320
96218810213
102420130000
111032111542
125765b6240
132c75162b2
1418d5bd808
15e2700850
hex904040d0

2420130000 has 100 divisors (see below), whose sum is σ = 7812599168. Its totient is φ = 645360000.

The previous prime is 2420129977. The next prime is 2420130017. The reversal of 2420130000 is 310242.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10336 + ... + 70335.

Almost surely, 22420130000 is an apocalyptic number.

2420130000 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 2420130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906299584).

2420130000 is an abundant number, since it is smaller than the sum of its proper divisors (5392469168).

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

2420130000 is an equidigital number, since it uses as much as digits as its factorization.

2420130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80702 (or 80681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2420130000 is about 49194.8168001467. The cubic root of 2420130000 is about 1342.5987290805.

Adding to 2420130000 its reverse (310242), we get a palindrome (2420440242).

The spelling of 2420130000 in words is "two billion, four hundred twenty million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 80671 161342 242013 322684 403355 484026 645368 806710 968052 1210065 1290736 1613420 1936104 2016775 2420130 3226840 3872208 4033550 4840260 6050325 6453680 8067100 9680520 10083875 12100650 16134200 19361040 20167750 24201300 30251625 32268400 40335500 48402600 50419375 60503250 80671000 96805200 100838750 121006500 151258125 161342000 201677500 242013000 302516250 403355000 484026000 605032500 806710000 1210065000 2420130000