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14172160 = 2145173
BaseRepresentation
bin110110000100…
…000000000000
3222200000112211
4312010000000
512112002120
61223431504
7231314152
oct66040000
928600484
1014172160
117aaa832
1248b5594
132c228c2
141c4cad2
15139e25a
hexd84000

14172160 has 60 divisors (see below), whose sum is σ = 34208748. Its totient is φ = 5636096.

The previous prime is 14172131. The next prime is 14172161. The reversal of 14172160 is 6127141.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 4734976 = 3072^2 + 2176^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (14172161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81834 + ... + 82006.

Almost surely, 214172160 is an apocalyptic number.

14172160 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 14172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104374).

14172160 is an abundant number, since it is smaller than the sum of its proper divisors (20036588).

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

14172160 is an frugal number, since it uses more digits than its factorization.

14172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 14172160 is about 3764.5929394823. The cubic root of 14172160 is about 241.9981330822.

The spelling of 14172160 in words is "fourteen million, one hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 512 640 692 865 1024 1280 1384 1730 2048 2560 2768 3460 4096 5120 5536 6920 8192 10240 11072 13840 16384 20480 22144 27680 40960 44288 55360 81920 88576 110720 177152 221440 354304 442880 708608 885760 1417216 1771520 2834432 3543040 7086080 14172160