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1889406 = 234107109
BaseRepresentation
bin111001101010001111110
310112222210000
413031101332
5440430111
6104255130
722026321
oct7152176
93488700
101889406
1110805a2
127714a6
13511cbc
143727b8
15274c56
hex1cd47e

1889406 has 40 divisors (see below), whose sum is σ = 4312440. Its totient is φ = 618192.

The previous prime is 1889401. The next prime is 1889411. The reversal of 1889406 is 6049881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1889401) and next prime (1889411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17280 + ... + 17388.

It is an arithmetic number, because the mean of its divisors is an integer number (107811).

21889406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1889406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156220).

1889406 is an abundant number, since it is smaller than the sum of its proper divisors (2423034).

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

1889406 is a wasteful number, since it uses less digits than its factorization.

1889406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1889406 is about 1374.5566557985. The cubic root of 1889406 is about 123.6256050261.

Multiplying 1889406 by its sum of digits (36), we get a triangular number (68018616 = T11663).

The spelling of 1889406 in words is "one million, eight hundred eighty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 107 109 162 214 218 321 327 642 654 963 981 1926 1962 2889 2943 5778 5886 8667 8829 11663 17334 17658 23326 34989 69978 104967 209934 314901 629802 944703 1889406