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3750420000 = 2535462507
BaseRepresentation
bin1101111110001010…
…1101111000100000
3100200101002002001110
43133202231320200
530140101420000
61420052303320
7161640021045
oct33742557040
910611062043
103750420000
111655018068
12888011b40
13479cc8242
142781471cc
1516e3c5850
hexdf8ade20

3750420000 has 120 divisors (see below), whose sum is σ = 12302324496. Its totient is φ = 1000096000.

The previous prime is 3750419987. The next prime is 3750420001. The reversal of 3750420000 is 240573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3750420001) 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 19 ways as a sum of consecutive naturals, for example, 28747 + ... + 91253.

Almost surely, 23750420000 is an apocalyptic number.

3750420000 is a gapful number since it is divisible by the number (30) 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 3750420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151162248).

3750420000 is an abundant number, since it is smaller than the sum of its proper divisors (8551904496).

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

3750420000 is an equidigital number, since it uses as much as digits as its factorization.

3750420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62540 (or 62517 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3750420000 is about 61240.6727592047. The cubic root of 3750420000 is about 1553.6742524851.

Adding to 3750420000 its reverse (240573), we get a palindrome (3750660573).

The spelling of 3750420000 in words is "three billion, seven hundred fifty million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 62507 125014 187521 250028 312535 375042 500056 625070 750084 937605 1000112 1250140 1500168 1562675 1875210 2000224 2500280 3000336 3125350 3750420 4688025 5000560 6000672 6250700 7500840 7813375 9376050 10001120 12501400 15001680 15626750 18752100 23440125 25002800 30003360 31253500 37504200 39066875 46880250 50005600 62507000 75008400 78133750 93760500 117200625 125014000 150016800 156267500 187521000 234401250 250028000 312535000 375042000 468802500 625070000 750084000 937605000 1250140000 1875210000 3750420000