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14165216 = 2513172003
BaseRepresentation
bin110110000010…
…010011100000
3222122200000122
4312002103200
512111241331
61223335412
7231255002
oct66022340
928580018
1014165216
117aa559a
1248b1568
132c1c6b0
141c4a372
15139c17b
hexd824e0

14165216 has 48 divisors (see below), whose sum is σ = 31815504. Its totient is φ = 6150144.

The previous prime is 14165197. The next prime is 14165219. The reversal of 14165216 is 61256141.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14165219) 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, 6071 + ... + 8073.

It is an arithmetic number, because the mean of its divisors is an integer number (662823).

Almost surely, 214165216 is an apocalyptic number.

14165216 is a gapful number since it is divisible by the number (16) 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 14165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907752).

14165216 is an abundant number, since it is smaller than the sum of its proper divisors (17650288).

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

14165216 is a wasteful number, since it uses less digits than its factorization.

14165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 14165216 is about 3763.6705488127. The cubic root of 14165216 is about 241.9586023033.

The spelling of 14165216 in words is "fourteen million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2003 3536 4006 7072 8012 16024 26039 32048 34051 52078 64096 68102 104156 136204 208312 272408 416624 442663 544816 833248 885326 1089632 1770652 3541304 7082608 14165216