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1142016 = 2831487
BaseRepresentation
bin100010110110100000000
32011000112220
410112310000
5243021031
640251040
712464331
oct4266400
92130486
101142016
11710017
12470a80
1330ca65
1421a288
15178596
hex116d00

1142016 has 36 divisors (see below), whose sum is σ = 3041472. Its totient is φ = 380416.

The previous prime is 1142003. The next prime is 1142017. The reversal of 1142016 is 6102411.

1142016 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1141986 and 1142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 1511.

21142016 is an apocalyptic number.

1142016 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 1142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520736).

1142016 is an abundant number, since it is smaller than the sum of its proper divisors (1899456).

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

1142016 is an equidigital number, since it uses as much as digits as its factorization.

1142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1142016 is about 1068.6514866878. The cubic root of 1142016 is about 104.5259354291.

Adding to 1142016 its reverse (6102411), we get a palindrome (7244427).

The spelling of 1142016 in words is "one million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1487 2974 4461 5948 8922 11896 17844 23792 35688 47584 71376 95168 142752 190336 285504 380672 571008 1142016