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14203296 = 253317967
BaseRepresentation
bin110110001011…
…100110100000
3222201121021000
4312023212200
512114001141
61224232000
7231504012
oct66134640
928647230
1014203296
118021168
12490b600
132c33b23
141c5a1b2
1513a85b6
hexd8b9a0

14203296 has 96 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 4451328.

The previous prime is 14203291. The next prime is 14203297. The reversal of 14203296 is 69230241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14203291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14205 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 214203296 is an apocalyptic number.

14203296 is a gapful number since it is divisible by the number (16) 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 14203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14203296 is an abundant number, since it is smaller than the sum of its proper divisors (29705184).

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

14203296 is a wasteful number, since it uses less digits than its factorization.

14203296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14203296 is about 3768.7260447000. The cubic root of 14203296 is about 242.1752254147.

The spelling of 14203296 in words is "fourteen million, two hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 967 1224 1632 1836 1934 2448 2901 3672 3868 4896 5802 7344 7736 8703 11604 14688 15472 16439 17406 23208 26109 30944 32878 34812 46416 49317 52218 65756 69624 92832 98634 104436 131512 139248 147951 197268 208872 263024 278496 295902 394536 417744 443853 526048 591804 789072 835488 887706 1183608 1578144 1775412 2367216 3550824 4734432 7101648 14203296