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1416 = 23359
BaseRepresentation
bin10110001000
31221110
4112020
521131
610320
74062
oct2610
91843
101416
111078
129a0
1384c
14732
15646
hex588

1416 has 16 divisors (see below), whose sum is σ = 3600. Its totient is φ = 464.

The previous prime is 1409. The next prime is 1423. The reversal of 1416 is 6141.

Adding to 1416 its reverse (6141), we get a palindrome (7557).

1416 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (1409) and next prime (1423).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

1416 is an undulating number in base 15.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (225).

21416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800).

1416 is an abundant number, since it is smaller than the sum of its proper divisors (2184).

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

1416 is a wasteful number, since it uses less digits than its factorization.

1416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 1416 is about 37.6297754445. The cubic root of 1416 is about 11.2293448160.

The spelling of 1416 in words is "one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416