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14387940 = 22325719601
BaseRepresentation
bin110110111000…
…101011100100
31000001222112200
4312320223210
512140403230
61232214500
7233203230
oct66705344
930058480
1014387940
118137966
12499a430
132c99b98
141ca75c0
1513e3160
hexdb8ae4

14387940 has 144 divisors (see below), whose sum is σ = 52590720. Its totient is φ = 3110400.

The previous prime is 14387939. The next prime is 14388037. The reversal of 14387940 is 4978341.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 14387895 and 14387904.

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 47 ways as a sum of consecutive naturals, for example, 23640 + ... + 24240.

Almost surely, 214387940 is an apocalyptic number.

14387940 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 14387940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295360).

14387940 is an abundant number, since it is smaller than the sum of its proper divisors (38202780).

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

14387940 is a wasteful number, since it uses less digits than its factorization.

14387940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14387940 is about 3793.1438148322. The cubic root of 14387940 is about 243.2201429314.

The spelling of 14387940 in words is "fourteen million, three hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 601 630 665 684 798 855 1140 1197 1202 1260 1330 1596 1710 1803 1995 2394 2404 2660 3005 3420 3606 3990 4207 4788 5409 5985 6010 7212 7980 8414 9015 10818 11419 11970 12020 12621 16828 18030 21035 21636 22838 23940 25242 27045 34257 36060 37863 42070 45676 50484 54090 57095 63105 68514 75726 79933 84140 102771 108180 114190 126210 137028 151452 159866 171285 189315 205542 228380 239799 252420 319732 342570 378630 399665 411084 479598 513855 685140 719397 757260 799330 959196 1027710 1198995 1438794 1598660 2055420 2397990 2877588 3596985 4795980 7193970 14387940