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14016072 = 2337194391
BaseRepresentation
bin110101011101…
…111001001000
3222101002102210
4311131321020
512042003242
61220225120
7230064120
oct65357110
928332383
1014016072
117a03534
12483b1a0
132b99845
141c0bc80
15136cd9c
hexd5de48

14016072 has 64 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 3792960.

The previous prime is 14016049. The next prime is 14016089. The reversal of 14016072 is 27061041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (658800).

Almost surely, 214016072 is an apocalyptic number.

14016072 is a gapful number since it is divisible by the number (12) 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 14016072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

14016072 is an abundant number, since it is smaller than the sum of its proper divisors (28147128).

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

14016072 is a wasteful number, since it uses less digits than its factorization.

14016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 14016072 is about 3743.8044820744. The cubic root of 14016072 is about 241.1064192580.

The spelling of 14016072 in words is "fourteen million, sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 4391 8782 13173 17564 26346 30737 35128 52692 61474 83429 92211 105384 122948 166858 184422 245896 250287 333716 368844 500574 584003 667432 737688 1001148 1168006 1752009 2002296 2336012 3504018 4672024 7008036 14016072