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14201180 = 2257243337
BaseRepresentation
bin110110001011…
…000101011100
3222201111100122
4312023011130
512113414210
61224214112
7231464600
oct66130534
928644318
1014201180
11801a614
12490a338
132c32b86
141c59500
1513a7b55
hexd8b15c

14201180 has 72 divisors (see below), whose sum is σ = 35603568. Its totient is φ = 4741632.

The previous prime is 14201177. The next prime is 14201183. The reversal of 14201180 is 8110241.

14201180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14201177) and next prime (14201183).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41972 + ... + 42308.

It is an arithmetic number, because the mean of its divisors is an integer number (494494).

Almost surely, 214201180 is an apocalyptic number.

14201180 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 14201180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801784).

14201180 is an abundant number, since it is smaller than the sum of its proper divisors (21402388).

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

14201180 is a wasteful number, since it uses less digits than its factorization.

14201180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

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

The square root of 14201180 is about 3768.4453027741. The cubic root of 14201180 is about 242.1631984357.

The spelling of 14201180 in words is "fourteen million, two hundred one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 337 430 490 602 674 860 980 1204 1348 1505 1685 2107 2359 3010 3370 4214 4718 6020 6740 8428 9436 10535 11795 14491 16513 21070 23590 28982 33026 42140 47180 57964 66052 72455 82565 101437 144910 165130 202874 289820 330260 405748 507185 710059 1014370 1420118 2028740 2840236 3550295 7100590 14201180