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14987016 = 233211127149
BaseRepresentation
bin111001001010…
…111100001000
31001012102022200
4321022330020
512314041031
61253120200
7241246632
oct71127410
931172280
1014987016
118506a70
125029060
133149775
141dc1a52
1514b08e6
hexe4af08

14987016 has 96 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 4475520.

The previous prime is 14986999. The next prime is 14987023. The reversal of 14987016 is 61078941.

It is a super-2 number, since 2×149870162 = 449221297168512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100510 + ... + 100658.

It is an arithmetic number, because the mean of its divisors is an integer number (468000).

Almost surely, 214987016 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 14987016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

14987016 is an abundant number, since it is smaller than the sum of its proper divisors (29940984).

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

14987016 is a wasteful number, since it uses less digits than its factorization.

14987016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14987016 is about 3871.3067561225. The cubic root of 14987016 is about 246.5500284525.

The spelling of 14987016 in words is "fourteen million, nine hundred eighty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 149 198 254 264 298 381 396 447 508 596 762 792 894 1016 1143 1192 1341 1397 1524 1639 1788 2286 2682 2794 3048 3278 3576 4191 4572 4917 5364 5588 6556 8382 9144 9834 10728 11176 12573 13112 14751 16764 18923 19668 25146 29502 33528 37846 39336 50292 56769 59004 75692 100584 113538 118008 151384 170307 208153 227076 340614 416306 454152 624459 681228 832612 1248918 1362456 1665224 1873377 2497836 3746754 4995672 7493508 14987016