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14087016 = 2332172677
BaseRepresentation
bin110101101111…
…001101101000
3222111200202100
4311233031220
512101241031
61221533400
7230511006
oct65571550
928450670
1014087016
117a51869
124874260
132bc2c18
141c29a76
151383de6
hexd6f368

14087016 has 72 divisors (see below), whose sum is σ = 40588470. Its totient is φ = 4412928.

The previous prime is 14086997. The next prime is 14087023. The reversal of 14087016 is 61078041.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13176900 + 910116 = 3630^2 + 954^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20470 + ... + 21146.

Almost surely, 214087016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14087016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20294235).

14087016 is an abundant number, since it is smaller than the sum of its proper divisors (26501454).

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

14087016 is a wasteful number, since it uses less digits than its factorization.

14087016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14087016 is about 3753.2673765667. The cubic root of 14087016 is about 241.5125310165.

Subtracting 14087016 from its reverse (61078041), we obtain a square (46991025 = 68552).

The spelling of 14087016 in words is "fourteen million, eighty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 677 867 1156 1224 1354 1734 2031 2312 2601 2708 3468 4062 5202 5416 6093 6936 8124 10404 11509 12186 16248 20808 23018 24372 34527 46036 48744 69054 92072 103581 138108 195653 207162 276216 391306 414324 586959 782612 828648 1173918 1565224 1760877 2347836 3521754 4695672 7043508 14087016