Search a number
-
+
3000121440 = 25356250253
BaseRepresentation
bin1011001011010010…
…0011100001100000
321202002020221220220
42302310203201200
522121012341230
61213411003040
7134226416511
oct26264434140
97662227826
103000121440
1112aa543708
126b8899480
1338a7278b4
14206638a08
151285b9d10
hexb2d23860

3000121440 has 48 divisors (see below), whose sum is σ = 9450384048. Its totient is φ = 800032256.

The previous prime is 3000121429. The next prime is 3000121477. The reversal of 3000121440 is 441210003.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124647 + ... + 3125606.

It is an arithmetic number, because the mean of its divisors is an integer number (196883001).

Almost surely, 23000121440 is an apocalyptic number.

3000121440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000121440 is an abundant number, since it is smaller than the sum of its proper divisors (6450262608).

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

3000121440 is a wasteful number, since it uses less digits than its factorization.

3000121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250271 (or 6250263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3000121440 is about 54773.3643297543. The cubic root of 3000121440 is about 1442.2690307990.

Adding to 3000121440 its reverse (441210003), we get a palindrome (3441331443).

The spelling of 3000121440 in words is "three billion, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6250253 12500506 18750759 25001012 31251265 37501518 50002024 62502530 75003036 93753795 100004048 125005060 150006072 187507590 200008096 250010120 300012144 375015180 500020240 600024288 750030360 1000040480 1500060720 3000121440