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2400021420 = 2235331120847
BaseRepresentation
bin1000111100001101…
…0110101110101100
320012021001201110020
42033003112232230
514403401141140
61034052442140
7113321562666
oct21703265654
96167051406
102400021420
111021827685
1256b919350
132c32c5624
1418aa67536
15e0a7c6d0
hex8f0d6bac

2400021420 has 48 divisors (see below), whose sum is σ = 6740418048. Its totient is φ = 638066880.

The previous prime is 2400021409. The next prime is 2400021473. The reversal of 2400021420 is 241200042.

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 2400021420.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40564 + ... + 80283.

It is an arithmetic number, because the mean of its divisors is an integer number (140425376).

Almost surely, 22400021420 is an apocalyptic number.

2400021420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400021420 is an abundant number, since it is smaller than the sum of its proper divisors (4340396628).

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

2400021420 is a wasteful number, since it uses less digits than its factorization.

2400021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121190 (or 121188 counting only the distinct ones).

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

The square root of 2400021420 is about 48990.0134721353. The cubic root of 2400021420 is about 1338.8698832785.

Adding to 2400021420 its reverse (241200042), we get a palindrome (2641221462).

The spelling of 2400021420 in words is "two billion, four hundred million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 19860 120847 241694 362541 483388 604235 725082 1208470 1450164 1812705 2416940 3625410 7250820 40000357 80000714 120001071 160001428 200001785 240002142 400003570 480004284 600005355 800007140 1200010710 2400021420