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14089680 = 2433511593
BaseRepresentation
bin110101101111…
…110111010000
3222111211102000
4311233313100
512101332210
61221554000
7230521533
oct65576720
928454360
1014089680
117a53870
124875900
132bc41b7
141c2aa1a
151384ac0
hexd6fdd0

14089680 has 160 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 3409920.

The previous prime is 14089619. The next prime is 14089687. The reversal of 14089680 is 8698041.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14089687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23464 + ... + 24056.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 214089680 is an apocalyptic number.

14089680 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 14089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

14089680 is an abundant number, since it is smaller than the sum of its proper divisors (38942640).

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

14089680 is a wasteful number, since it uses less digits than its factorization.

14089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14089680 is about 3753.6222505734. The cubic root of 14089680 is about 241.5277542270.

The spelling of 14089680 in words is "fourteen million, eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 593 594 660 720 792 880 990 1080 1186 1188 1320 1485 1584 1779 1980 2160 2372 2376 2640 2965 2970 3558 3960 4744 4752 5337 5930 5940 6523 7116 7920 8895 9488 10674 11860 11880 13046 14232 16011 17790 19569 21348 23720 23760 26092 26685 28464 32022 32615 35580 39138 42696 47440 52184 53370 58707 64044 65230 71160 78276 80055 85392 97845 104368 106740 117414 128088 130460 142320 156552 160110 176121 195690 213480 234828 256176 260920 293535 313104 320220 352242 391380 426960 469656 521840 587070 640440 704484 782760 880605 939312 1174140 1280880 1408968 1565520 1761210 2348280 2817936 3522420 4696560 7044840 14089680