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2120432112 = 2432371492671
BaseRepresentation
bin111111001100011…
…0011100111110000
312110202222010000200
41332120303213300
513320312311422
6550224115200
7103355242551
oct17630634760
95422863020
102120432112
11998a24037
124b2165b00
1327a3c2b76
14161888328
15c62512ac
hex7e6339f0

2120432112 has 120 divisors (see below), whose sum is σ = 6137851200. Its totient is φ = 682836480.

The previous prime is 2120432107. The next prime is 2120432113. The reversal of 2120432112 is 2112340212.

It is a happy number.

2120432112 is a `hidden beast` number, since 2 + 120 + 432 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120432113) 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, 792537 + ... + 795207.

It is an arithmetic number, because the mean of its divisors is an integer number (51148760).

Almost surely, 22120432112 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 2120432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068925600).

2120432112 is an abundant number, since it is smaller than the sum of its proper divisors (4017419088).

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

2120432112 is a wasteful number, since it uses less digits than its factorization.

2120432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120432112 is about 46048.1499302632. The cubic root of 2120432112 is about 1284.7189324049.

Adding to 2120432112 its reverse (2112340212), we get a palindrome (4232772324).

The spelling of 2120432112 in words is "two billion, one hundred twenty million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 149 222 296 298 333 444 447 592 596 666 888 894 1192 1332 1341 1776 1788 2384 2664 2671 2682 3576 5328 5342 5364 5513 7152 8013 10684 10728 11026 16026 16539 21368 21456 22052 24039 32052 33078 42736 44104 48078 49617 64104 66156 88208 96156 98827 99234 128208 132312 192312 197654 198468 264624 296481 384624 395308 396936 397979 592962 790616 793872 795958 889443 1185924 1193937 1581232 1591916 1778886 2371848 2387874 3183832 3557772 3581811 4743696 4775748 6367664 7115544 7163622 9551496 14231088 14327244 14725223 19102992 28654488 29450446 44175669 57308976 58900892 88351338 117801784 132527007 176702676 235603568 265054014 353405352 530108028 706810704 1060216056 2120432112