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2148112 = 24134257
BaseRepresentation
bin1000001100011100010000
311001010122201
420030130100
51022214422
6114012544
724154501
oct10143420
94033581
102148112
1112379aa
12877154
135a2995
143dcba8
152c6727
hex20c710

2148112 has 10 divisors (see below), whose sum is σ = 4161998. Its totient is φ = 1074048.

The previous prime is 2148073. The next prime is 2148127. The reversal of 2148112 is 2118412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1218816 + 929296 = 1104^2 + 964^2 .

It is a super-2 number, since 2×21481122 = 9228770329088, which contains 22 as substring.

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

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2148112.

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 as a sum of consecutive naturals, namely, 67113 + ... + 67144.

22148112 is an apocalyptic number.

It is an amenable number.

2148112 is a deficient number, since it is larger than the sum of its proper divisors (2013886).

2148112 is a wasteful number, since it uses less digits than its factorization.

2148112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134265 (or 134259 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 2148112 is about 1465.6438858058. The cubic root of 2148112 is about 129.0284976001.

The spelling of 2148112 in words is "two million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 134257 268514 537028 1074056 2148112