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14133440 = 265291523
BaseRepresentation
bin110101111010…
…100011000000
3222121001102202
4311322203000
512104232230
61222532332
7231063236
oct65724300
928531382
1014133440
117a83732
1248970a8
132c0b0a9
141c3c956
151392a45
hexd7a8c0

14133440 has 56 divisors (see below), whose sum is σ = 34838640. Its totient is φ = 5454848.

The previous prime is 14133439. The next prime is 14133461. The reversal of 14133440 is 4433141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8519 + ... + 10041.

Almost surely, 214133440 is an apocalyptic number.

14133440 is a gapful number since it is divisible by the number (10) 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 14133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419320).

14133440 is an abundant number, since it is smaller than the sum of its proper divisors (20705200).

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

14133440 is a wasteful number, since it uses less digits than its factorization.

14133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 14133440 is about 3759.4467678104. The cubic root of 14133440 is about 241.7775429921. Note that the first 3 decimals are identical.

Adding to 14133440 its reverse (4433141), we get a palindrome (18566581).

The spelling of 14133440 in words is "fourteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1523 1856 2320 3046 4640 6092 7615 9280 12184 15230 24368 30460 44167 48736 60920 88334 97472 121840 176668 220835 243680 353336 441670 487360 706672 883340 1413344 1766680 2826688 3533360 7066720 14133440