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12142128 = 2431311931
BaseRepresentation
bin101110010100…
…011000110000
3211211212212110
4232110120300
511102022003
61112125320
7205130535
oct56243060
924755773
1012142128
116943619
124096840
1326918bb
141880d8c
1510eca03
hexb94630

12142128 has 40 divisors (see below), whose sum is σ = 31622976. Its totient is φ = 4014400.

The previous prime is 12142103. The next prime is 12142129. The reversal of 12142128 is 82124121.

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

It is not an unprimeable number, because it can be changed into a prime (12142129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5323 + ... + 7253.

Almost surely, 212142128 is an apocalyptic number.

It is an amenable number.

12142128 is an abundant number, since it is smaller than the sum of its proper divisors (19480848).

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

12142128 is a wasteful number, since it uses less digits than its factorization.

12142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 12142128 is about 3484.5556388154. Note that the first 3 decimals coincide. The cubic root of 12142128 is about 229.8431697089.

Adding to 12142128 its reverse (82124121), we get a palindrome (94266249).

The spelling of 12142128 in words is "twelve million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 1931 2096 3144 3862 5793 6288 7724 11586 15448 23172 30896 46344 92688 252961 505922 758883 1011844 1517766 2023688 3035532 4047376 6071064 12142128