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2120132304 = 243241359101
BaseRepresentation
bin111111001011110…
…1010011011010000
312110202101212202200
41332113222123100
513320223213204
6550213443200
7103352553513
oct17627523320
95422355680
102120132304
11998839864
124b2040500
1327a319574
1416180ad7a
15c61e2539
hex7e5ea6d0

2120132304 has 60 divisors (see below), whose sum is σ = 6078160452. Its totient is φ = 689472000.

The previous prime is 2120132297. The next prime is 2120132323. The reversal of 2120132304 is 4032310212.

It can be written as a sum of positive squares in 2 ways, for example, as 504092304 + 1616040000 = 22452^2 + 40200^2 .

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

It is a congruent number.

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, 173647 + ... + 185454.

Almost surely, 22120132304 is an apocalyptic number.

2120132304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120132304 is an abundant number, since it is smaller than the sum of its proper divisors (3958028148).

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

2120132304 is a wasteful number, since it uses less digits than its factorization.

2120132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359156 (or 359147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2120132304 is about 46044.8944401005. The cubic root of 2120132304 is about 1284.6583807268.

Adding to 2120132304 its reverse (4032310212), we get a palindrome (6152442516).

The spelling of 2120132304 in words is "two billion, one hundred twenty million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 359101 718202 1077303 1436404 2154606 2872808 3231909 4309212 5745616 6463818 8618424 12927636 14723141 17236848 25855272 29446282 44169423 51710544 58892564 88338846 117785128 132508269 176677692 235570256 265016538 353355384 530033076 706710768 1060066152 2120132304