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14017872 = 24311139191
BaseRepresentation
bin110101011110…
…010101010000
3222101011220110
4311132111100
512042032442
61220241320
7230102301
oct65362520
928334813
1014017872
117a04920
124840240
132b9a5cb
141c0c7a8
15136d69c
hexd5e550

14017872 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 4195200.

The previous prime is 14017867. The next prime is 14017889. The reversal of 14017872 is 27871041.

14017872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73297 + ... + 73487.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 214017872 is an apocalyptic number.

14017872 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 14017872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

14017872 is an abundant number, since it is smaller than the sum of its proper divisors (25979568).

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

14017872 is a wasteful number, since it uses less digits than its factorization.

14017872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 14017872 is about 3744.0448715260. The cubic root of 14017872 is about 241.1167400997.

The spelling of 14017872 in words is "fourteen million, seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 139 176 191 264 278 382 417 528 556 573 764 834 1112 1146 1528 1529 1668 2101 2224 2292 3056 3058 3336 4202 4584 4587 6116 6303 6672 8404 9168 9174 12232 12606 16808 18348 24464 25212 26549 33616 36696 50424 53098 73392 79647 100848 106196 159294 212392 292039 318588 424784 584078 637176 876117 1168156 1274352 1752234 2336312 3504468 4672624 7008936 14017872