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2146248 = 2332132293
BaseRepresentation
bin1000001011111111001000
311001001002200
420023333020
51022134443
6114000200
724146166
oct10137710
94031080
102146248
111236565
12876060
135a1b90
143dc236
152c5dd3
hex20bfc8

2146248 has 48 divisors (see below), whose sum is σ = 6262620. Its totient is φ = 660096.

The previous prime is 2146247. The next prime is 2146253. The reversal of 2146248 is 8426412.

2146248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 191844 = 1398^2 + 438^2 .

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2146247) 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, 211 + ... + 2082.

22146248 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 2146248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131310).

2146248 is an abundant number, since it is smaller than the sum of its proper divisors (4116372).

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

2146248 is a wasteful number, since it uses less digits than its factorization.

2146248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2311 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2146248 is about 1465.0078498083. The cubic root of 2146248 is about 128.9911657913.

The spelling of 2146248 in words is "two million, one hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2293 4586 6879 9172 13758 18344 20637 27516 29809 41274 55032 59618 82548 89427 119236 165096 178854 238472 268281 357708 536562 715416 1073124 2146248