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51120342 = 233713101103
BaseRepresentation
bin1100001100000…
…0100011010110
310120012011221000
43003000203112
5101041322332
65023404130
71160341620
oct303004326
9116164830
1051120342
1126946519
1215153646
13a78b330
146b09c10
15474bb7c
hex30c08d6

51120342 has 128 divisors (see below), whose sum is σ = 142571520. Its totient is φ = 13219200.

The previous prime is 51120341. The next prime is 51120353. The reversal of 51120342 is 24302115.

It is a super-2 number, since 2×511203422 = 5226578732393928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51120341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496263 + ... + 496365.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 251120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

51120342 is an abundant number, since it is smaller than the sum of its proper divisors (91451178).

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

51120342 is a wasteful number, since it uses less digits than its factorization.

51120342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51120342 is about 7149.8490893165. The cubic root of 51120342 is about 371.1344339814.

Adding to 51120342 its reverse (24302115), we get a palindrome (75422457).

The spelling of 51120342 in words is "fifty-one million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 101 103 117 126 182 189 202 206 234 273 303 309 351 378 546 606 618 702 707 721 819 909 927 1313 1339 1414 1442 1638 1818 1854 2121 2163 2457 2626 2678 2727 2781 3939 4017 4242 4326 4914 5454 5562 6363 6489 7878 8034 9191 9373 10403 11817 12051 12726 12978 18382 18746 19089 19467 20806 23634 24102 27573 28119 31209 35451 36153 38178 38934 55146 56238 62418 70902 72306 72821 82719 84357 93627 135239 145642 165438 168714 187254 218463 248157 253071 270478 280881 405717 436926 496314 506142 561762 655389 811434 946673 1217151 1310778 1893346 1966167 2434302 2840019 3651453 3932334 5680038 7302906 8520057 17040114 25560171 51120342