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14044160 = 210513211
BaseRepresentation
bin110101100100…
…110000000000
3222102111222002
4311210300000
512043403120
61221003132
7230242034
oct65446000
928374862
1014044160
117a22649
1248534a8
132ba9570
141c181c4
151376375
hexd64c00

14044160 has 88 divisors (see below), whose sum is σ = 36452976. Its totient is φ = 5160960.

The previous prime is 14044157. The next prime is 14044169. The reversal of 14044160 is 6144041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66455 + ... + 66665.

Almost surely, 214044160 is an apocalyptic number.

14044160 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 14044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18226488).

14044160 is an abundant number, since it is smaller than the sum of its proper divisors (22408816).

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

14044160 is a wasteful number, since it uses less digits than its factorization.

14044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14044160 is about 3747.5538688590. The cubic root of 14044160 is about 241.2673696855.

The spelling of 14044160 in words is "fourteen million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 211 256 260 320 416 422 512 520 640 832 844 1024 1040 1055 1280 1664 1688 2080 2110 2560 2743 3328 3376 4160 4220 5120 5486 6656 6752 8320 8440 10972 13312 13504 13715 16640 16880 21944 27008 27430 33280 33760 43888 54016 54860 66560 67520 87776 108032 109720 135040 175552 216064 219440 270080 351104 438880 540160 702208 877760 1080320 1404416 1755520 2808832 3511040 7022080 14044160