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107406 = 2351317
BaseRepresentation
bin11010001110001110
312110100000
4122032032
511414111
62145130
7625065
oct321616
9173300
10107406
1173772
12521a6
1339b70
142b1dc
1521c56
hex1a38e

107406 has 48 divisors (see below), whose sum is σ = 275184. Its totient is φ = 31104.

The previous prime is 107377. The next prime is 107441. The reversal of 107406 is 604701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

107406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6310 + ... + 6326.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2107406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

107406 is an abundant number, since it is smaller than the sum of its proper divisors (167778).

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

107406 is a wasteful number, since it uses less digits than its factorization.

107406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107406 is about 327.7285462086. The cubic root of 107406 is about 47.5345639474.

The spelling of 107406 in words is "one hundred seven thousand, four hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 243 306 351 442 459 486 663 702 918 1053 1326 1377 1989 2106 2754 3159 3978 4131 5967 6318 8262 11934 17901 35802 53703 107406