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14120680 = 2357293747
BaseRepresentation
bin110101110111…
…011011101000
3222120101221011
4311313123220
512103330210
61222353304
7231011110
oct65673350
928511834
1014120680
117a75092
12488b834
132c05342
141c38040
15138dd8a
hexd776e8

14120680 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 4451328.

The previous prime is 14120677. The next prime is 14120681. The reversal of 14120680 is 8602141.

It is not an unprimeable number, because it can be changed into a prime (14120681) 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, 300417 + ... + 300463.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 214120680 is an apocalyptic number.

14120680 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 14120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

14120680 is an abundant number, since it is smaller than the sum of its proper divisors (25277720).

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

14120680 is a wasteful number, since it uses less digits than its factorization.

14120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 14120680 is about 3757.7493263921. The cubic root of 14120680 is about 241.7047602786.

The spelling of 14120680 in words is "fourteen million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 37 40 47 56 58 70 74 94 116 140 145 148 185 188 203 232 235 259 280 290 296 329 370 376 406 470 518 580 658 740 812 940 1015 1036 1073 1160 1295 1316 1363 1480 1624 1645 1739 1880 2030 2072 2146 2590 2632 2726 3290 3478 4060 4292 5180 5365 5452 6580 6815 6956 7511 8120 8584 8695 9541 10360 10730 10904 12173 13160 13630 13912 15022 17390 19082 21460 24346 27260 30044 34780 37555 38164 42920 47705 48692 50431 54520 60088 60865 69560 75110 76328 95410 97384 100862 121730 150220 190820 201724 243460 252155 300440 353017 381640 403448 486920 504310 706034 1008620 1412068 1765085 2017240 2824136 3530170 7060340 14120680