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14121792 = 263224517
BaseRepresentation
bin110101110111…
…101101000000
3222120110110100
4311313231000
512103344132
61222402400
7231014256
oct65675500
928513410
1014121792
117a75a03
124890400
132c059b9
141c385d6
15138e37c
hexd77b40

14121792 has 42 divisors (see below), whose sum is σ = 40479218. Its totient is φ = 4707072.

The previous prime is 14121787. The next prime is 14121799. The reversal of 14121792 is 29712141.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 3779136 = 3216^2 + 1944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121799) 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 5 ways as a sum of consecutive naturals, for example, 11683 + ... + 12834.

Almost surely, 214121792 is an apocalyptic number.

14121792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14121792 is an abundant number, since it is smaller than the sum of its proper divisors (26357426).

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

14121792 is a wasteful number, since it uses less digits than its factorization.

14121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24535 (or 24522 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 14121792 is about 3757.8972843866. The cubic root of 14121792 is about 241.7111048417.

The spelling of 14121792 in words is "fourteen million, one hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 24517 49034 73551 98068 147102 196136 220653 294204 392272 441306 588408 784544 882612 1176816 1569088 1765224 2353632 3530448 4707264 7060896 14121792