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14098320 = 2433561107
BaseRepresentation
bin110101110001…
…111110010000
3222112021021000
4311301332100
512102121240
61222102000
7230555655
oct65617620
928467230
1014098320
117a5a305
12487a900
132bc8102
141c2dc2c
151387430
hexd71f90

14098320 has 160 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 3663360.

The previous prime is 14098313. The next prime is 14098327. The reversal of 14098320 is 2389041.

It is an interprime number because it is at equal distance from previous prime (14098313) and next prime (14098327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131707 + ... + 131813.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 214098320 is an apocalyptic number.

14098320 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 14098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

14098320 is an abundant number, since it is smaller than the sum of its proper divisors (35719920).

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

14098320 is a wasteful number, since it uses less digits than its factorization.

14098320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14098320 is about 3754.7729625105. The cubic root of 14098320 is about 241.5771136019.

The spelling of 14098320 in words is "fourteen million, ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 107 108 120 122 135 144 180 183 214 216 240 244 270 305 321 360 366 428 432 488 535 540 549 610 642 720 732 856 915 963 976 1070 1080 1098 1220 1284 1464 1605 1647 1712 1830 1926 2140 2160 2196 2440 2568 2745 2889 2928 3210 3294 3660 3852 4280 4392 4815 4880 5136 5490 5778 6420 6527 6588 7320 7704 8235 8560 8784 9630 10980 11556 12840 13054 13176 14445 14640 15408 16470 19260 19581 21960 23112 25680 26108 26352 28890 32635 32940 38520 39162 43920 46224 52216 57780 58743 65270 65880 77040 78324 97905 104432 115560 117486 130540 131760 156648 176229 195810 231120 234972 261080 293715 313296 352458 391620 469944 522160 587430 704916 783240 881145 939888 1174860 1409832 1566480 1762290 2349720 2819664 3524580 4699440 7049160 14098320