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2119248 = 243214717
BaseRepresentation
bin1000000101011001010000
310222200001200
420011121100
51020303443
6113231200
724004365
oct10053120
93880050
102119248
11121824a
12862500
135927c1
143d246c
152bcdd3
hex205650

2119248 has 30 divisors (see below), whose sum is σ = 5931354. Its totient is φ = 706368.

The previous prime is 2119231. The next prime is 2119259. The reversal of 2119248 is 8429112.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 501264 = 1272^2 + 708^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7215 + ... + 7502.

22119248 is an apocalyptic number.

It is an amenable number.

2119248 is an abundant number, since it is smaller than the sum of its proper divisors (3812106).

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

2119248 is a wasteful number, since it uses less digits than its factorization.

2119248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14722 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2119248 is about 1455.7637170915. The cubic root of 2119248 is about 128.4479746195.

The spelling of 2119248 in words is "two million, one hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14717 29434 44151 58868 88302 117736 132453 176604 235472 264906 353208 529812 706416 1059624 2119248