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14121800 = 23527211131
BaseRepresentation
bin110101110111…
…101101001000
3222120110110122
4311313231020
512103344200
61222402412
7231014300
oct65675510
928513418
1014121800
117a75a10
124890408
132c059c4
141c38600
15138e385
hexd77b48

14121800 has 144 divisors (see below), whose sum is σ = 41983920. Its totient is φ = 4368000.

The previous prime is 14121799. The next prime is 14121841. The reversal of 14121800 is 812141.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107735 + ... + 107865.

It is an arithmetic number, because the mean of its divisors is an integer number (291555).

Almost surely, 214121800 is an apocalyptic number.

14121800 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 14121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991960).

14121800 is an abundant number, since it is smaller than the sum of its proper divisors (27862120).

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

14121800 is a wasteful number, since it uses less digits than its factorization.

14121800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 14121800 is about 3757.8983488115. The cubic root of 14121800 is about 241.7111504849.

Adding to 14121800 its reverse (812141), we get a palindrome (14933941).

The spelling of 14121800 in words is "fourteen million, one hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 131 140 154 175 196 200 220 245 262 275 280 308 350 385 392 440 490 524 539 550 616 655 700 770 917 980 1048 1078 1100 1225 1310 1400 1441 1540 1834 1925 1960 2156 2200 2450 2620 2695 2882 3080 3275 3668 3850 4312 4585 4900 5240 5390 5764 6419 6550 7205 7336 7700 9170 9800 10087 10780 11528 12838 13100 13475 14410 15400 18340 20174 21560 22925 25676 26200 26950 28820 32095 36025 36680 40348 45850 50435 51352 53900 57640 64190 70609 72050 80696 91700 100870 107800 128380 141218 144100 160475 183400 201740 252175 256760 282436 288200 320950 353045 403480 504350 564872 641900 706090 1008700 1283800 1412180 1765225 2017400 2824360 3530450 7060900 14121800