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12142728 = 23321312973
BaseRepresentation
bin101110010100…
…100010001000
3211211220200200
4232110202020
511102031403
61112132200
7205132353
oct56244210
924756620
1012142728
116944014
124097060
132691c60
14188129a
1510ecca3
hexb94888

12142728 has 48 divisors (see below), whose sum is σ = 35419020. Its totient is φ = 3735936.

The previous prime is 12142717. The next prime is 12142733. The reversal of 12142728 is 82724121.

It can be written as a sum of positive squares in 2 ways, for example, as 8749764 + 3392964 = 2958^2 + 1842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5551 + ... + 7422.

Almost surely, 212142728 is an apocalyptic number.

12142728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12142728 is an abundant number, since it is smaller than the sum of its proper divisors (23276292).

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

12142728 is a wasteful number, since it uses less digits than its factorization.

12142728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 12991 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12142728 is about 3484.6417319432. The cubic root of 12142728 is about 229.8469555260.

Adding to 12142728 its reverse (82724121), we get a palindrome (94866849).

It can be divided in two parts, 121 and 42728, that added together give a square (42849 = 2072).

The spelling of 12142728 in words is "twelve million, one hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 12973 25946 38919 51892 77838 103784 116757 155676 168649 233514 311352 337298 467028 505947 674596 934056 1011894 1349192 1517841 2023788 3035682 4047576 6071364 12142728