Search a number
-
+
14121180 = 22325194129
BaseRepresentation
bin110101110111…
…100011011100
3222120102121200
4311313203130
512103334210
61222355500
7231012423
oct65674334
928512550
1014121180
117a754a7
12488bb90
132c05638
141c382ba
15138e0c0
hexd778dc

14121180 has 72 divisors (see below), whose sum is σ = 45099600. Its totient is φ = 3566592.

The previous prime is 14121167. The next prime is 14121221. The reversal of 14121180 is 8112141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 5484.

Almost surely, 214121180 is an apocalyptic number.

14121180 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 14121180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549800).

14121180 is an abundant number, since it is smaller than the sum of its proper divisors (30978420).

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

14121180 is a wasteful number, since it uses less digits than its factorization.

14121180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 14121180 is about 3757.8158549881. The cubic root of 14121180 is about 241.7076130910.

It can be divided in two parts, 141 and 21180, that added together give a triangular number (21321 = T206).

The spelling of 14121180 in words is "fourteen million, one hundred twenty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4129 8258 12387 16516 20645 24774 37161 41290 49548 61935 74322 78451 82580 123870 148644 156902 185805 235353 247740 313804 371610 392255 470706 706059 743220 784510 941412 1176765 1412118 1569020 2353530 2824236 3530295 4707060 7060590 14121180