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51322140 = 22335101941
BaseRepresentation
bin1100001111000…
…1110100011100
310120120102202000
43003301310130
5101114302030
65032002300
71162142142
oct303616434
9116512660
1051322140
1126a740a1
1215230390
13a82c13c
146b5d592
15478b860
hex30f1d1c

51322140 has 96 divisors (see below), whose sum is σ = 161421120. Its totient is φ = 13536000.

The previous prime is 51322087. The next prime is 51322157. The reversal of 51322140 is 4122315.

51322140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54070 + ... + 55010.

It is an arithmetic number, because the mean of its divisors is an integer number (1681470).

Almost surely, 251322140 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 51322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80710560).

51322140 is an abundant number, since it is smaller than the sum of its proper divisors (110098980).

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

51322140 is a wasteful number, since it uses less digits than its factorization.

51322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

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

The square root of 51322140 is about 7163.9472359866. The cubic root of 51322140 is about 371.6221449437.

Adding to 51322140 its reverse (4122315), we get a palindrome (55444455).

The spelling of 51322140 in words is "fifty-one million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 941 1010 1212 1515 1818 1882 2020 2727 2823 3030 3636 3764 4545 4705 5454 5646 6060 8469 9090 9410 10908 11292 13635 14115 16938 18180 18820 25407 27270 28230 33876 42345 50814 54540 56460 84690 95041 101628 127035 169380 190082 254070 285123 380164 475205 508140 570246 855369 950410 1140492 1425615 1710738 1900820 2566107 2851230 3421476 4276845 5132214 5702460 8553690 10264428 12830535 17107380 25661070 51322140