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14314140 = 22325281283
BaseRepresentation
bin110110100110…
…101010011100
3222221020022100
4312212222130
512131023030
61230445100
7232445121
oct66465234
928836270
1014314140
118097475
124963790
132c72409
141c88748
1513cb360
hexda6a9c

14314140 has 72 divisors (see below), whose sum is σ = 43728048. Its totient is φ = 3790080.

The previous prime is 14314133. The next prime is 14314151. The reversal of 14314140 is 4141341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50439 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (607334).

Almost surely, 214314140 is an apocalyptic number.

14314140 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 14314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864024).

14314140 is an abundant number, since it is smaller than the sum of its proper divisors (29413908).

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

14314140 is a wasteful number, since it uses less digits than its factorization.

14314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14314140 is about 3783.4032298977. The cubic root of 14314140 is about 242.8035805423.

Adding to 14314140 its reverse (4141341), we get a palindrome (18455481).

The spelling of 14314140 in words is "fourteen million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 283 562 566 843 849 1124 1132 1405 1415 1686 1698 2529 2547 2810 2830 3372 3396 4215 4245 5058 5094 5620 5660 8430 8490 10116 10188 12645 12735 16860 16980 25290 25470 50580 50940 79523 159046 238569 318092 397615 477138 715707 795230 954276 1192845 1431414 1590460 2385690 2862828 3578535 4771380 7157070 14314140