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14217440 = 255175227
BaseRepresentation
bin110110001111…
…000011100000
3222202022122212
4312033003200
512114424230
61224421252
7231563156
oct66170340
928668585
1014217440
118030856
124917828
132c3a3b3
141c613d6
1513ac895
hexd8f0e0

14217440 has 48 divisors (see below), whose sum is σ = 35571312. Its totient is φ = 5351424.

The previous prime is 14217421. The next prime is 14217451. The reversal of 14217440 is 4471241.

It is a happy number.

It is a congruent number.

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, 107 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (741069).

Almost surely, 214217440 is an apocalyptic number.

14217440 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 14217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785656).

14217440 is an abundant number, since it is smaller than the sum of its proper divisors (21353872).

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

14217440 is a wasteful number, since it uses less digits than its factorization.

14217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 14217440 is about 3770.6020739399. The cubic root of 14217440 is about 242.2555868089.

Adding to 14217440 its reverse (4471241), we get a palindrome (18688681).

The spelling of 14217440 in words is "fourteen million, two hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 5227 10454 20908 26135 41816 52270 83632 88859 104540 167264 177718 209080 355436 418160 444295 710872 836320 888590 1421744 1777180 2843488 3554360 7108720 14217440