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14918148 = 2233722819
BaseRepresentation
bin111000111010…
…001000000100
31001001220212000
4320322020010
512304340043
61251425300
7240542100
oct70721004
931056760
1014918148
11846a253
124bb5230
13312430b
141da4900
15149a2d3
hexe3a204

14918148 has 72 divisors (see below), whose sum is σ = 45007200. Its totient is φ = 4260816.

The previous prime is 14918143. The next prime is 14918159. The reversal of 14918148 is 84181941.

It is a super-2 number, since 2×149181482 = 445102279499808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14918143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3883 + ... + 6701.

It is an arithmetic number, because the mean of its divisors is an integer number (625100).

Almost surely, 214918148 is an apocalyptic number.

14918148 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 14918148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503600).

14918148 is an abundant number, since it is smaller than the sum of its proper divisors (30089052).

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

14918148 is a wasteful number, since it uses less digits than its factorization.

14918148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2831 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 14918148 is about 3862.4018434130. The cubic root of 14918148 is about 246.1718014647.

The spelling of 14918148 in words is "fourteen million, nine hundred eighteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 2819 5292 5638 8457 11276 16914 19733 25371 33828 39466 50742 59199 76113 78932 101484 118398 138131 152226 177597 236796 276262 304452 355194 414393 532791 552524 710388 828786 1065582 1243179 1657572 2131164 2486358 3729537 4972716 7459074 14918148