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14032116 = 2234723269
BaseRepresentation
bin110101100001…
…110011110100
3222101220110000
4311201303310
512043011431
61220431300
7230161650
oct65416364
928356400
1014032116
117a1459a
124848530
132ba3c37
141c13a60
1513729e6
hexd61cf4

14032116 has 120 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3820608.

The previous prime is 14032099. The next prime is 14032129. The reversal of 14032116 is 61123041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 52030 + ... + 52298.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 214032116 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 14032116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14032116 is an abundant number, since it is smaller than the sum of its proper divisors (29876364).

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

14032116 is a wasteful number, since it uses less digits than its factorization.

14032116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14032116 is about 3745.9466093366. The cubic root of 14032116 is about 241.1983812173.

Adding to 14032116 its reverse (61123041), we get a palindrome (75155157).

The spelling of 14032116 in words is "fourteen million, thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 269 276 322 324 378 414 483 538 567 621 644 756 807 828 966 1076 1134 1242 1449 1614 1863 1883 1932 2268 2421 2484 2898 3228 3726 3766 4347 4842 5649 5796 6187 7263 7452 7532 8694 9684 11298 12374 13041 14526 16947 17388 18561 21789 22596 24748 26082 29052 33894 37122 43309 43578 50841 52164 55683 67788 74244 86618 87156 101682 111366 129927 152523 167049 173236 203364 222732 259854 305046 334098 389781 501147 519708 610092 668196 779562 1002294 1169343 1559124 2004588 2338686 3508029 4677372 7016058 14032116