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14144592 = 2437114389
BaseRepresentation
bin110101111101…
…010001010000
3222121121201210
4311331101100
512110111332
61223100120
7231140610
oct65752120
928547653
1014144592
117a91050
1248a1640
132c131a7
141c42a40
151395ecc
hexd7d450

14144592 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3548160.

The previous prime is 14144579. The next prime is 14144593. The reversal of 14144592 is 29544141.

14144592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158884 + ... + 158972.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 214144592 is an apocalyptic number.

14144592 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 14144592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

14144592 is an abundant number, since it is smaller than the sum of its proper divisors (32995248).

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

14144592 is a wasteful number, since it uses less digits than its factorization.

14144592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 14144592 is about 3760.9296723018. The cubic root of 14144592 is about 241.8411178494.

It can be divided in two parts, 1414 and 4592, that added together give a palindrome (6006).

The spelling of 14144592 in words is "fourteen million, one hundred forty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 43 44 48 56 66 77 84 86 88 89 112 129 132 154 168 172 176 178 231 258 264 267 301 308 336 344 356 462 473 516 528 534 602 616 623 688 712 903 924 946 979 1032 1068 1204 1232 1246 1419 1424 1806 1848 1869 1892 1958 2064 2136 2408 2492 2838 2937 3311 3612 3696 3738 3784 3827 3916 4272 4816 4984 5676 5874 6622 6853 7224 7476 7568 7654 7832 9933 9968 11352 11481 11748 13244 13706 14448 14952 15308 15664 19866 20559 22704 22962 23496 26488 26789 27412 29904 30616 39732 41118 42097 45924 46992 52976 53578 54824 61232 79464 80367 82236 84194 91848 107156 109648 126291 158928 160734 164472 168388 183696 214312 252582 294679 321468 328944 336776 428624 505164 589358 642936 673552 884037 1010328 1178716 1285872 1768074 2020656 2357432 3536148 4714864 7072296 14144592