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14121360 = 24325111783
BaseRepresentation
bin110101110111…
…100110010000
3222120102212100
4311313212100
512103340420
61222400400
7231013101
oct65674620
928512770
1014121360
117a75650
124890100
132c05746
141c383a8
15138e190
hexd77990

14121360 has 120 divisors (see below), whose sum is σ = 51764544. Its totient is φ = 3421440.

The previous prime is 14121323. The next prime is 14121361. The reversal of 14121360 is 6312141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14121361) 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 23 ways as a sum of consecutive naturals, for example, 7029 + ... + 8811.

Almost surely, 214121360 is an apocalyptic number.

14121360 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 14121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25882272).

14121360 is an abundant number, since it is smaller than the sum of its proper divisors (37643184).

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

14121360 is a wasteful number, since it uses less digits than its factorization.

14121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14121360 is about 3757.8398049944. The cubic root of 14121360 is about 241.7086400870.

It can be divided in two parts, 1412 and 1360, that added together give a palindrome (2772).

The spelling of 14121360 in words is "fourteen million, one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1783 1980 2640 3566 3960 5349 7132 7920 8915 10698 14264 16047 17830 19613 21396 26745 28528 32094 35660 39226 42792 53490 58839 64188 71320 78452 80235 85584 98065 106980 117678 128376 142640 156904 160470 176517 196130 213960 235356 256752 294195 313808 320940 353034 392260 427920 470712 588390 641880 706068 784520 882585 941424 1176780 1283760 1412136 1569040 1765170 2353560 2824272 3530340 4707120 7060680 14121360