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2146104 = 233241727
BaseRepresentation
bin1000001011111100111000
311001000220100
420023330320
51022133404
6113555400
724145602
oct10137470
94030810
102146104
111236444
12875b60
135a1aac
143dc172
152c5d39
hex20bf38

2146104 has 48 divisors (see below), whose sum is σ = 5962320. Its totient is φ = 696960.

The previous prime is 2146103. The next prime is 2146139. The reversal of 2146104 is 4016412.

2146104 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21461043 = 29653335192679598592, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2589 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

22146104 is an apocalyptic number.

2146104 is a gapful number since it is divisible by the number (24) 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 2146104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981160).

2146104 is an abundant number, since it is smaller than the sum of its proper divisors (3816216).

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

2146104 is a wasteful number, since it uses less digits than its factorization.

2146104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2146104 is about 1464.9587024896. The cubic root of 2146104 is about 128.9882808896.

The spelling of 2146104 in words is "two million, one hundred forty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 727 738 984 1454 1476 2181 2908 2952 4362 5816 6543 8724 13086 17448 26172 29807 52344 59614 89421 119228 178842 238456 268263 357684 536526 715368 1073052 2146104