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14079312 = 24331323109
BaseRepresentation
bin110101101101…
…010101010000
3222111022012000
4311231111100
512101014222
61221434000
7230446362
oct65552520
928438160
1014079312
117a46aa5
12486b900
132bbc570
141c26d32
1513819ac
hexd6d550

14079312 has 160 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 4105728.

The previous prime is 14079287. The next prime is 14079319. The reversal of 14079312 is 21397041.

14079312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14079319) 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, 129114 + ... + 129222.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 214079312 is an apocalyptic number.

14079312 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 14079312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

14079312 is an abundant number, since it is smaller than the sum of its proper divisors (31751088).

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

14079312 is a wasteful number, since it uses less digits than its factorization.

14079312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14079312 is about 3752.2409304308. The cubic root of 14079312 is about 241.4684963342.

The spelling of 14079312 in words is "fourteen million, seventy-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 109 117 138 144 156 184 207 208 216 218 234 276 299 312 327 351 368 414 432 436 468 552 598 621 624 654 702 828 872 897 936 981 1104 1196 1242 1308 1404 1417 1656 1744 1794 1872 1962 2392 2484 2507 2616 2691 2808 2834 2943 3312 3588 3924 4251 4784 4968 5014 5232 5382 5616 5668 5886 7176 7521 7848 8073 8502 9936 10028 10764 11336 11772 12753 14352 15042 15696 16146 17004 20056 21528 22563 22672 23544 25506 30084 32292 32591 34008 38259 40112 43056 45126 47088 51012 60168 64584 65182 67689 68016 76518 90252 97773 102024 120336 129168 130364 135378 153036 180504 195546 204048 260728 270756 293319 306072 361008 391092 521456 541512 586638 612144 782184 879957 1083024 1173276 1564368 1759914 2346552 3519828 4693104 7039656 14079312