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16983144 = 2332235877
BaseRepresentation
bin100000011001…
…0010001101000
31011221211111100
41000302101220
513321430034
61404001400
7264232353
oct100622150
934854440
1016983144
11964a762
125830260
1336981c9
14238129a
151757099
hex1032468

16983144 has 24 divisors (see below), whose sum is σ = 45996210. Its totient is φ = 5661024.

The previous prime is 16983139. The next prime is 16983149. The reversal of 16983144 is 44138961.

It is an interprime number because it is at equal distance from previous prime (16983139) and next prime (16983149).

It can be written as a sum of positive squares in only one way, i.e., 16402500 + 580644 = 4050^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16983099 and 16983108.

It is not an unprimeable number, because it can be changed into a prime (16983149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117867 + ... + 118010.

Almost surely, 216983144 is an apocalyptic number.

It is an amenable number.

16983144 is an abundant number, since it is smaller than the sum of its proper divisors (29013066).

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

16983144 is a wasteful number, since it uses less digits than its factorization.

16983144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235889 (or 235882 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16983144 is about 4121.0610284246. The cubic root of 16983144 is about 257.0431475851.

The spelling of 16983144 in words is "sixteen million, nine hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 235877 471754 707631 943508 1415262 1887016 2122893 2830524 4245786 5661048 8491572 16983144