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142016 = 267317
BaseRepresentation
bin100010101011000000
321012210212
4202223000
514021031
63013252
71131020
oct425300
9235725
10142016
1197776
126a228
134c844
1439a80
152c12b
hex22ac0

142016 has 28 divisors (see below), whose sum is σ = 323088. Its totient is φ = 60672.

The previous prime is 142007. The next prime is 142019. The reversal of 142016 is 610241.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (142019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 606.

2142016 is an apocalyptic number.

142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161544).

142016 is an abundant number, since it is smaller than the sum of its proper divisors (181072).

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

142016 is an equidigital number, since it uses as much as digits as its factorization.

142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 142016 is about 376.8501028260. The cubic root of 142016 is about 52.1729938646.

Adding to 142016 its reverse (610241), we get a palindrome (752257).

It can be divided in two parts, 14 and 2016, that multiplied together give a square (28224 = 1682).

The spelling of 142016 in words is "one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 317 448 634 1268 2219 2536 4438 5072 8876 10144 17752 20288 35504 71008 142016