Search a number
-
+
126143316 = 2232132311719
BaseRepresentation
bin1111000010011…
…00101101010100
322210100202002200
413201030231110
5224243041231
620303404500
73061125525
oct741145524
9283322080
10126143316
1165228382
12362b3730
1320198220
1412a7884c
15b11abe6
hex784cb54

126143316 has 72 divisors (see below), whose sum is σ = 358350720. Its totient is φ = 37122624.

The previous prime is 126143287. The next prime is 126143321. The reversal of 126143316 is 613341621.

126143316 is a `hidden beast` number, since 1 + 2 + 614 + 33 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126143316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4905 + ... + 16623.

Almost surely, 2126143316 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 126143316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179175360).

126143316 is an abundant number, since it is smaller than the sum of its proper divisors (232207404).

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

126143316 is a wasteful number, since it uses less digits than its factorization.

126143316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11760 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 126143316 is about 11231.3541480981. The cubic root of 126143316 is about 501.5197970864.

Adding to 126143316 its reverse (613341621), we get a palindrome (739484937).

The spelling of 126143316 in words is "one hundred twenty-six million, one hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 11719 23438 35157 46876 70314 105471 140628 152347 210942 269537 304694 421884 457041 539074 609388 808611 914082 1078148 1371123 1617222 1828164 2425833 2742246 3234444 3503981 4851666 5484492 7007962 9703332 10511943 14015924 21023886 31535829 42047772 63071658 126143316