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2001144 = 233199419
BaseRepresentation
bin111101000100011111000
310202200001110
413220203320
51003014034
6110520320
723003145
oct7504370
93680043
102001144
111147542
128060a0
13550b12
143a13cc
15297de9
hex1e88f8

2001144 has 32 divisors (see below), whose sum is σ = 5040000. Its totient is φ = 662112.

The previous prime is 2001127. The next prime is 2001163. The reversal of 2001144 is 4411002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4567 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

22001144 is an apocalyptic number.

2001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001144 is an abundant number, since it is smaller than the sum of its proper divisors (3038856).

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

2001144 is a wasteful number, since it uses less digits than its factorization.

2001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001144 is about 1414.6179696300. The cubic root of 2001144 is about 126.0161229053.

Adding to 2001144 its reverse (4411002), we get a palindrome (6412146).

It can be divided in two parts, 2001 and 144, that added together give a triangular number (2145 = T65).

The spelling of 2001144 in words is "two million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 199 398 419 597 796 838 1194 1257 1592 1676 2388 2514 3352 4776 5028 10056 83381 166762 250143 333524 500286 667048 1000572 2001144