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12147280 = 245151841
BaseRepresentation
bin101110010101…
…101001010000
3211212010221021
4232111221100
511102203110
61112205224
7205151545
oct56255120
924763837
1012147280
116947482
124099814
132694052
141882bcc
1510ee2da
hexb95a50

12147280 has 20 divisors (see below), whose sum is σ = 28242612. Its totient is φ = 4858880.

The previous prime is 12147271. The next prime is 12147283. The reversal of 12147280 is 8274121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1336336 + 10810944 = 1156^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×121472802 = 295112822796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147283) 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 3 ways as a sum of consecutive naturals, for example, 75841 + ... + 76000.

Almost surely, 212147280 is an apocalyptic number.

12147280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12147280 is an abundant number, since it is smaller than the sum of its proper divisors (16095332).

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

12147280 is a wasteful number, since it uses less digits than its factorization.

12147280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151854 (or 151848 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 12147280 is about 3485.2948225365. The cubic root of 12147280 is about 229.8756731978.

The spelling of 12147280 in words is "twelve million, one hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151841 303682 607364 759205 1214728 1518410 2429456 3036820 6073640 12147280