Search a number
-
+
2420000520 = 2335711512503
BaseRepresentation
bin1001000000111110…
…0100011100001000
320020122122202121220
42100033210130020
514424010004040
61040045002040
7113653444050
oct22017443410
96218582556
102420000520
111032033233
12576553320
132c749c392
1418d588560
15e26c72d0
hex903e4708

2420000520 has 128 divisors (see below), whose sum is σ = 8307671040. Its totient is φ = 552441600.

The previous prime is 2420000519. The next prime is 2420000521. The reversal of 2420000520 is 250000242.

It is an interprime number because it is at equal distance from previous prime (2420000519) and next prime (2420000521).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2420000520.

It is not an unprimeable number, because it can be changed into a prime (2420000521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965589 + ... + 968091.

It is an arithmetic number, because the mean of its divisors is an integer number (64903680).

Almost surely, 22420000520 is an apocalyptic number.

2420000520 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 2420000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153835520).

2420000520 is an abundant number, since it is smaller than the sum of its proper divisors (5887670520).

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

2420000520 is a wasteful number, since it uses less digits than its factorization.

2420000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2420000520 is about 49193.5007902467. The cubic root of 2420000520 is about 1342.5747850797.

Adding to 2420000520 its reverse (250000242), we get a palindrome (2670000762).

The spelling of 2420000520 in words is "two billion, four hundred twenty million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1151 2302 2503 3453 4604 5006 5755 6906 7509 8057 9208 10012 11510 12515 13812 15018 16114 17265 17521 20024 23020 24171 25030 27624 30036 32228 34530 35042 37545 40285 46040 48342 50060 52563 60072 64456 69060 70084 75090 80570 87605 96684 100120 105126 120855 138120 140168 150180 161140 175210 193368 210252 241710 262815 300360 322280 350420 420504 483420 525630 700840 966840 1051260 2102520 2880953 5761906 8642859 11523812 14404765 17285718 20166671 23047624 28809530 34571436 40333342 43214295 57619060 60500013 69142872 80666684 86428590 100833355 115238120 121000026 161333368 172857180 201666710 242000052 302500065 345714360 403333420 484000104 605000130 806666840 1210000260 2420000520