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51310120 = 235372937
BaseRepresentation
bin1100001110111…
…0111000101000
310120112211020211
43003232320220
5101113410440
65031430504
71162062121
oct303567050
9116484224
1051310120
1126a66064
1215225434
13a826824
146b59048
154787eea
hex30eee28

51310120 has 48 divisors (see below), whose sum is σ = 118778940. Its totient is φ = 19948032.

The previous prime is 51310109. The next prime is 51310151. The reversal of 51310120 is 2101315.

51310120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31114084 + 20196036 = 5578^2 + 4494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51310120.

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 11 ways as a sum of consecutive naturals, for example, 54292 + ... + 55228.

Almost surely, 251310120 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 51310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59389470).

51310120 is an abundant number, since it is smaller than the sum of its proper divisors (67468820).

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

51310120 is a wasteful number, since it uses less digits than its factorization.

51310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51310120 is about 7163.1082638754. The cubic root of 51310120 is about 371.5931305200.

Adding to 51310120 its reverse (2101315), we get a palindrome (53411435).

The spelling of 51310120 in words is "fifty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 937 1369 1480 1874 2738 3748 4685 5476 6845 7496 9370 10952 13690 18740 27380 34669 37480 54760 69338 138676 173345 277352 346690 693380 1282753 1386760 2565506 5131012 6413765 10262024 12827530 25655060 51310120