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14491296 = 253267751
BaseRepresentation
bin110111010001…
…111010100000
31000021020022200
4313101322200
512202210141
61234333200
7234113451
oct67217240
930236280
1014491296
1181a8586
124a2a200
133004c41
141cd3128
151413ab6
hexdd1ea0

14491296 has 72 divisors (see below), whose sum is σ = 41880384. Its totient is φ = 4752000.

The previous prime is 14491283. The next prime is 14491297. The reversal of 14491296 is 69219441.

It is a happy number.

14491296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14491296.

It is not an unprimeable number, because it can be changed into a prime (14491297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18921 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (581672).

Almost surely, 214491296 is an apocalyptic number.

14491296 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 14491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940192).

14491296 is an abundant number, since it is smaller than the sum of its proper divisors (27389088).

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

14491296 is a wasteful number, since it uses less digits than its factorization.

14491296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 14491296 is about 3806.7434901763. The cubic root of 14491296 is about 243.8011458748.

The spelling of 14491296 in words is "fourteen million, four hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 751 804 1072 1206 1502 1608 2144 2253 2412 3004 3216 4506 4824 6008 6432 6759 9012 9648 12016 13518 18024 19296 24032 27036 36048 50317 54072 72096 100634 108144 150951 201268 216288 301902 402536 452853 603804 805072 905706 1207608 1610144 1811412 2415216 3622824 4830432 7245648 14491296