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14148312 = 2331922371
BaseRepresentation
bin110101111110…
…001011011000
3222121210211120
4311332023120
512110221222
61223125240
7231154503
oct65761330
928553746
1014148312
117a93922
1248a3820
132c14aa9
141c4413a
15139715c
hexd7e2d8

14148312 has 96 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 4213440.

The previous prime is 14148311. The next prime is 14148313. The reversal of 14148312 is 21384141.

It is an interprime number because it is at equal distance from previous prime (14148311) and next prime (14148313).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148311) 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, 199237 + ... + 199307.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 214148312 is an apocalyptic number.

14148312 is a gapful number since it is divisible by the number (12) 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 14148312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

14148312 is an abundant number, since it is smaller than the sum of its proper divisors (25353768).

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

14148312 is a wasteful number, since it uses less digits than its factorization.

14148312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 14148312 is about 3761.4241983589. The cubic root of 14148312 is about 241.8623172379.

The spelling of 14148312 in words is "fourteen million, one hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 71 76 92 114 138 142 152 184 213 228 276 284 361 426 437 456 552 568 722 852 874 1083 1311 1349 1444 1633 1704 1748 2166 2622 2698 2888 3266 3496 4047 4332 4899 5244 5396 6532 8094 8303 8664 9798 10488 10792 13064 16188 16606 19596 24909 25631 31027 32376 33212 39192 49818 51262 62054 66424 76893 93081 99636 102524 124108 153786 186162 199272 205048 248216 307572 372324 589513 615144 744648 1179026 1768539 2358052 3537078 4716104 7074156 14148312