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2129984 = 26231447
BaseRepresentation
bin1000001000000001000000
311000012210022
420020001000
51021124414
6113353012
724050603
oct10100100
94005708
102129984
11122531a
12868768
1359765c
143d633a
152c118e
hex208040

2129984 has 28 divisors (see below), whose sum is σ = 4413504. Its totient is φ = 1017984.

The previous prime is 2129983. The next prime is 2130001. The reversal of 2129984 is 4899212.

It is not an unprimeable number, because it can be changed into a prime (2129983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749 + ... + 2195.

22129984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206752).

2129984 is an abundant number, since it is smaller than the sum of its proper divisors (2283520).

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

2129984 is a wasteful number, since it uses less digits than its factorization.

2129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 2129984 is about 1459.4464704127. The cubic root of 2129984 is about 128.6645129561.

It can be divided in two parts, 2129 and 984, that added together give a palindrome (3113).

The spelling of 2129984 in words is "two million, one hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1447 1472 2894 5788 11576 23152 33281 46304 66562 92608 133124 266248 532496 1064992 2129984