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14287312 = 2413149461
BaseRepresentation
bin110110100000…
…000111010000
3222212212111201
4312200013100
512124143222
61230120544
7232303654
oct66400720
928785451
1014287312
1180792a6
124950154
132c63140
141c7ca64
1513c3427
hexda01d0

14287312 has 40 divisors (see below), whose sum is σ = 30076200. Its totient is φ = 6535680.

The previous prime is 14287307. The next prime is 14287313. The reversal of 14287312 is 21378241.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 14107536 = 424^2 + 3756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30762 + ... + 31222.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 214287312 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 14287312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038100).

14287312 is an abundant number, since it is smaller than the sum of its proper divisors (15788888).

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

14287312 is a wasteful number, since it uses less digits than its factorization.

14287312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 14287312 is about 3779.8560819163. The cubic root of 14287312 is about 242.6517957048.

It can be divided in two parts, 14287 and 312, that multiplied together give a palindrome (4457544).

The spelling of 14287312 in words is "fourteen million, two hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 461 596 922 1192 1844 1937 2384 3688 3874 5993 7376 7748 11986 15496 23972 30992 47944 68689 95888 137378 274756 549512 892957 1099024 1785914 3571828 7143656 14287312