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161406 = 2337261
BaseRepresentation
bin100111011001111110
322012102000
4213121332
520131111
63243130
71241400
oct473176
9265360
10161406
111002a3
12794a6
135860b
1442b70
1532c56
hex2767e

161406 has 48 divisors (see below), whose sum is σ = 424080. Its totient is φ = 45360.

The previous prime is 161387. The next prime is 161407. The reversal of 161406 is 604161.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161406.

It is not an unprimeable number, because it can be changed into a prime (161407) by changing a digit.

161406 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, 2616 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2161406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

161406 is an abundant number, since it is smaller than the sum of its proper divisors (262674).

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

161406 is a wasteful number, since it uses less digits than its factorization.

161406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161406 is about 401.7536558639. The cubic root of 161406 is about 54.4469084297.

Adding to 161406 its reverse (604161), we get a palindrome (765567).

The spelling of 161406 in words is "one hundred sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 366 378 427 441 549 854 882 1098 1281 1323 1647 2562 2646 2989 3294 3843 5978 7686 8967 11529 17934 23058 26901 53802 80703 161406