Search a number
-
+
2016042 = 237232087
BaseRepresentation
bin111101100001100101010
310210102111020
413230030222
51004003132
6111113310
723064450
oct7541452
93712436
102016042
111157756
12812836
13557832
143a69d0
1529c52c
hex1ec32a

2016042 has 32 divisors (see below), whose sum is σ = 4810752. Its totient is φ = 550704.

The previous prime is 2016031. The next prime is 2016059. The reversal of 2016042 is 2406102.

It is a congruent number.

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, 78 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (150336).

22016042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405376).

2016042 is an abundant number, since it is smaller than the sum of its proper divisors (2794710).

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

2016042 is a wasteful number, since it uses less digits than its factorization.

2016042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2016042 is about 1419.8739380663. The cubic root of 2016042 is about 126.3280692192.

It can be divided in two parts, 20160 and 42, that added together give a palindrome (20202).

The spelling of 2016042 in words is "two million, sixteen thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 2087 4174 6261 12522 14609 29218 43827 48001 87654 96002 144003 288006 336007 672014 1008021 2016042