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2001441120 = 253575311239
BaseRepresentation
bin111011101001011…
…1001000101100000
312011111001202001220
41313102321011200
513044332103440
6530333455040
7100411653210
oct16722710540
95144052056
102001441120
11937841378
1247a341480
1325b8602b3
1414db52240
15baa998d0
hex774b9160

2001441120 has 192 divisors, whose sum is σ = 7341788160. Its totient is φ = 448800768.

The previous prime is 2001441109. The next prime is 2001441139. The reversal of 2001441120 is 211441002.

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 2001441120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172461 + ... + 183699.

It is an arithmetic number, because the mean of its divisors is an integer number (38238480).

Almost surely, 22001441120 is an apocalyptic number.

2001441120 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 2001441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670894080).

2001441120 is an abundant number, since it is smaller than the sum of its proper divisors (5340347040).

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

2001441120 is a wasteful number, since it uses less digits than its factorization.

2001441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001441120 is about 44737.4688600059. The cubic root of 2001441120 is about 1260.2235934768.

Adding to 2001441120 its reverse (211441002), we get a palindrome (2212882122).

The spelling of 2001441120 in words is "two billion, one million, four hundred forty-one thousand, one hundred twenty".