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12142377 = 3213591759
BaseRepresentation
bin101110010100…
…011100101001
3211211220012200
4232110130221
511102024002
61112130413
7205131342
oct56243451
924756180
1012142377
116943825
124096a09
132691a50
1418810c9
1510ecb1c
hexb94729

12142377 has 24 divisors (see below), whose sum is σ = 19219200. Its totient is φ = 7341408.

The previous prime is 12142357. The next prime is 12142381. The reversal of 12142377 is 77324121.

It is a happy number.

12142377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12142377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12142377.

It is not an unprimeable number, because it can be changed into a prime (12142337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6024 + ... + 7782.

It is an arithmetic number, because the mean of its divisors is an integer number (800800).

Almost surely, 212142377 is an apocalyptic number.

It is an amenable number.

12142377 is a deficient number, since it is larger than the sum of its proper divisors (7076823).

12142377 is a wasteful number, since it uses less digits than its factorization.

12142377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1834 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12142377 is about 3484.5913677216. The cubic root of 12142377 is about 229.8447408381.

Adding to 12142377 its reverse (77324121), we get a palindrome (89466498).

The spelling of 12142377 in words is "twelve million, one hundred forty-two thousand, three hundred seventy-seven".

Divisors: 1 3 9 13 39 59 117 177 531 767 1759 2301 5277 6903 15831 22867 68601 103781 205803 311343 934029 1349153 4047459 12142377