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2112663 = 37372719
BaseRepresentation
bin1000000011110010010111
310222100000210
420003302113
51020101123
6113140503
723646240
oct10036227
93870023
102112663
111213303
1285a733
1358c7c7
143cdcc7
152bae93
hex203c97

2112663 has 16 divisors (see below), whose sum is σ = 3307520. Its totient is φ = 1174176.

The previous prime is 2112631. The next prime is 2112683. The reversal of 2112663 is 3662112.

It is a happy number.

It is not a de Polignac number, because 2112663 - 25 = 2112631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 1454-th Hogben number.

It is a Duffinian number.

2112663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112683) by changing a digit.

It is a nontrivial repunit in base 1453.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (206720).

22112663 is an apocalyptic number.

2112663 is a deficient number, since it is larger than the sum of its proper divisors (1194857).

2112663 is a wasteful number, since it uses less digits than its factorization.

2112663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766.

The product of its digits is 432, while the sum is 21.

The square root of 2112663 is about 1453.5002579979. The cubic root of 2112663 is about 128.3147972704.

Adding to 2112663 its reverse (3662112), we get a palindrome (5774775).

It can be divided in two parts, 2112 and 663, that added together give a triangular number (2775 = T74).

The spelling of 2112663 in words is "two million, one hundred twelve thousand, six hundred sixty-three".

Divisors: 1 3 7 21 37 111 259 777 2719 8157 19033 57099 100603 301809 704221 2112663