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2104128 = 263213281
BaseRepresentation
bin1000000001101101000000
310221220022200
420001231000
51014313003
6113033200
723612325
oct10015500
93856280
102104128
111207954
12855800
13588960
143cab4c
152b86a3
hex201b40

2104128 has 84 divisors (see below), whose sum is σ = 6518148. Its totient is φ = 645120.

The previous prime is 2104111. The next prime is 2104129. The reversal of 2104128 is 8214012.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 1272384 = 912^2 + 1128^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2104128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7348 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (77597).

22104128 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 2104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259074).

2104128 is an abundant number, since it is smaller than the sum of its proper divisors (4414020).

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

2104128 is a wasteful number, since it uses less digits than its factorization.

2104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2104128 is about 1450.5612706811. The cubic root of 2104128 is about 128.1417700040.

The spelling of 2104128 in words is "two million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 281 288 312 416 468 562 576 624 832 843 936 1124 1248 1686 1872 2248 2496 2529 3372 3653 3744 4496 5058 6744 7306 7488 8992 10116 10959 13488 14612 17984 20232 21918 26976 29224 32877 40464 43836 53952 58448 65754 80928 87672 116896 131508 161856 175344 233792 263016 350688 526032 701376 1052064 2104128