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14988168 = 23321367239
BaseRepresentation
bin111001001011…
…001110001000
31001012110220100
4321023032020
512314110133
61253125400
7241253166
oct71131610
931173810
1014988168
118507918
125029860
13314a150
141dc2236
1514b0e13
hexe4b388

14988168 has 96 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 4523904.

The previous prime is 14988167. The next prime is 14988173. The reversal of 14988168 is 86188941.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14988161) by changing a digit.

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, 62593 + ... + 62831.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 214988168 is an apocalyptic number.

14988168 is a gapful number since it is divisible by the number (18) 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 14988168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

14988168 is an abundant number, since it is smaller than the sum of its proper divisors (29565432).

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

14988168 is a wasteful number, since it uses less digits than its factorization.

14988168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 14988168 is about 3871.4555402329. The cubic root of 14988168 is about 246.5563454395.

The spelling of 14988168 in words is "fourteen million, nine hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 239 268 312 402 468 478 536 603 717 804 871 936 956 1206 1434 1608 1742 1912 2151 2412 2613 2868 3107 3484 4302 4824 5226 5736 6214 6968 7839 8604 9321 10452 12428 15678 16013 17208 18642 20904 24856 27963 31356 32026 37284 48039 55926 62712 64052 74568 96078 111852 128104 144117 192156 208169 223704 288234 384312 416338 576468 624507 832676 1152936 1249014 1665352 1873521 2498028 3747042 4996056 7494084 14988168