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14121296 = 247592137
BaseRepresentation
bin110101110111…
…100101010000
3222120102202222
4311313211100
512103340141
61222400212
7231012650
oct65674520
928512688
1014121296
117a755a2
124890068
132c056c7
141c38360
15138e14b
hexd77950

14121296 has 40 divisors (see below), whose sum is σ = 31813440. Its totient is φ = 5946624.

The previous prime is 14121293. The next prime is 14121299. The reversal of 14121296 is 69212141.

It is an interprime number because it is at equal distance from previous prime (14121293) and next prime (14121299).

It is a super-2 number, since 2×141212962 = 398822001439232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5540 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (795336).

Almost surely, 214121296 is an apocalyptic number.

14121296 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 14121296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906720).

14121296 is an abundant number, since it is smaller than the sum of its proper divisors (17692144).

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

14121296 is a wasteful number, since it uses less digits than its factorization.

14121296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 14121296 is about 3757.8312894541. The cubic root of 14121296 is about 241.7082749338.

The spelling of 14121296 in words is "fourteen million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 2137 3304 4274 6608 8548 14959 17096 29918 34192 59836 119672 126083 239344 252166 504332 882581 1008664 1765162 2017328 3530324 7060648 14121296