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14114416 = 2419291601
BaseRepresentation
bin110101110101…
…111001110000
3222120002100011
4311311321300
512103130131
61222304304
7230653621
oct65657160
928502304
1014114416
117a70408
124888094
132c02534
141c35a48
15138c0b1
hexd75e70

14114416 has 40 divisors (see below), whose sum is σ = 29797200. Its totient is φ = 6451200.

The previous prime is 14114413. The next prime is 14114431. The reversal of 14114416 is 61441141.

14114416 = 3592 + 3602 + ... + 4452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8016 + ... + 9616.

It is an arithmetic number, because the mean of its divisors is an integer number (744930).

Almost surely, 214114416 is an apocalyptic number.

14114416 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 14114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898600).

14114416 is an abundant number, since it is smaller than the sum of its proper divisors (15682784).

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

14114416 is a wasteful number, since it uses less digits than its factorization.

14114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 14114416 is about 3756.9157563086. The cubic root of 14114416 is about 241.6690145366.

Adding to 14114416 its reverse (61441141), we get a palindrome (75555557).

The spelling of 14114416 in words is "fourteen million, one hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 1601 2204 3202 4408 6404 8816 12808 25616 30419 46429 60838 92858 121676 185716 243352 371432 486704 742864 882151 1764302 3528604 7057208 14114416