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4001106 = 233767269
BaseRepresentation
bin1111010000110101010010
321112021111010
433100311102
52011013411
6221431350
746003014
oct17206522
97467433
104001106
1122930aa
12140b556
13aa1225
147621b4
155407a6
hex3d0d52

4001106 has 32 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 1273536.

The previous prime is 4001089. The next prime is 4001111. The reversal of 4001106 is 6011004.

4001106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4001091 and 4001100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14740 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 24001106 is an apocalyptic number.

4001106 is an abundant number, since it is smaller than the sum of its proper divisors (4371054).

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

4001106 is a wasteful number, since it uses less digits than its factorization.

4001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4001106 is about 2000.2764808896. The cubic root of 4001106 is about 158.7547343949.

The spelling of 4001106 in words is "four million, one thousand, one hundred six".

Divisors: 1 2 3 6 37 67 74 111 134 201 222 269 402 538 807 1614 2479 4958 7437 9953 14874 18023 19906 29859 36046 54069 59718 108138 666851 1333702 2000553 4001106