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2106363 = 3732389
BaseRepresentation
bin1000000010001111111011
310222000101110
420002033323
51014400423
6113051403
723622000
oct10021773
93860343
102106363
1112095a6
12856b63
1358998c
143cb8a7
152b9193
hex2023fb

2106363 has 32 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 1138368.

The previous prime is 2106361. The next prime is 2106383. The reversal of 2106363 is 3636012.

2106363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2106363 - 21 = 2106361 is a prime.

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

2106363 is a modest number, since divided by 6363 gives 210 as remainder.

2106363 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2106361) 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 31 ways as a sum of consecutive naturals, for example, 23623 + ... + 23711.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

22106363 is an apocalyptic number.

2106363 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2106363 is a deficient number, since it is larger than the sum of its proper divisors (1349637).

2106363 is an equidigital number, since it uses as much as digits as its factorization.

2106363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2106363 is about 1451.3314576622. The cubic root of 2106363 is about 128.1871245820.

The spelling of 2106363 in words is "two million, one hundred six thousand, three hundred sixty-three".

Divisors: 1 3 7 21 23 49 69 89 147 161 267 343 483 623 1029 1127 1869 2047 3381 4361 6141 7889 13083 14329 23667 30527 42987 91581 100303 300909 702121 2106363