[go: up one dir, main page]

Search a number
-
+
12143872 = 28134189
BaseRepresentation
bin101110010100…
…110100000000
3211211222021001
4232110310000
511102100442
61112141344
7205135606
oct56246400
924758231
1012143872
116944964
124097854
132692630
141881876
1510ed2b7
hexb94d00

12143872 has 72 divisors (see below), whose sum is σ = 27042120. Its totient is φ = 5406720.

The previous prime is 12143863. The next prime is 12143891. The reversal of 12143872 is 27834121.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 11397376 = 864^2 + 3376^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12143872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136404 + ... + 136492.

It is an arithmetic number, because the mean of its divisors is an integer number (375585).

Almost surely, 212143872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521060).

12143872 is an abundant number, since it is smaller than the sum of its proper divisors (14898248).

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

12143872 is an equidigital number, since it uses as much as digits as its factorization.

12143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 12143872 is about 3484.8058769464. The cubic root of 12143872 is about 229.8541734719.

Adding to 12143872 its reverse (27834121), we get a palindrome (39977993).

The spelling of 12143872 in words is "twelve million, one hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 89 104 128 164 178 208 256 328 356 416 533 656 712 832 1066 1157 1312 1424 1664 2132 2314 2624 2848 3328 3649 4264 4628 5248 5696 7298 8528 9256 10496 11392 14596 17056 18512 22784 29192 34112 37024 47437 58384 68224 74048 94874 116768 136448 148096 189748 233536 296192 379496 467072 758992 934144 1517984 3035968 6071936 12143872