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2420043000 = 233537691049
BaseRepresentation
bin1001000000111110…
…1110110011111000
320020122201220220020
42100033232303320
514424012334000
61040045530440
7113654011644
oct22017566370
96218656806
102420043000
111032062141
12576573a20
132c74b580b
1418d599c24
15e26d4ba0
hex903eecf8

2420043000 has 128 divisors (see below), whose sum is σ = 7567560000. Its totient is φ = 643891200.

The previous prime is 2420042987. The next prime is 2420043001. The reversal of 2420043000 is 3400242.

It is a happy number.

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 (2420043001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2306476 + ... + 2307524.

Almost surely, 22420043000 is an apocalyptic number.

2420043000 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 2420043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780000).

2420043000 is an abundant number, since it is smaller than the sum of its proper divisors (5147517000).

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

2420043000 is a wasteful number, since it uses less digits than its factorization.

2420043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2420043000 is about 49193.9325527041. The cubic root of 2420043000 is about 1342.5826407589.

Adding to 2420043000 its reverse (3400242), we get a palindrome (2423443242).

The spelling of 2420043000 in words is "two billion, four hundred twenty million, forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 769 1000 1049 1500 1538 2098 2307 3000 3076 3147 3845 4196 4614 5245 6152 6294 7690 8392 9228 10490 11535 12588 15380 15735 18456 19225 20980 23070 25176 26225 30760 31470 38450 41960 46140 52450 57675 62940 76900 78675 92280 96125 104900 115350 125880 131125 153800 157350 192250 209800 230700 262250 288375 314700 384500 393375 461400 524500 576750 629400 769000 786750 806681 1049000 1153500 1573500 1613362 2307000 2420043 3147000 3226724 4033405 4840086 6453448 8066810 9680172 12100215 16133620 19360344 20167025 24200430 32267240 40334050 48400860 60501075 80668100 96801720 100835125 121002150 161336200 201670250 242004300 302505375 403340500 484008600 605010750 806681000 1210021500 2420043000