Search a number
-
+
51315160 = 2351327591
BaseRepresentation
bin1100001111000…
…0000111011000
310120120002011111
43003300013120
5101114041120
65031510104
71162112611
oct303600730
9116502144
1051315160
1126a69926
1215228334
13a828c00
146b5ac08
15478975a
hex30f01d8

51315160 has 48 divisors (see below), whose sum is σ = 125040240. Its totient is φ = 18944640.

The previous prime is 51315157. The next prime is 51315203. The reversal of 51315160 is 6151315.

51315160 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2965 + ... + 10555.

It is an arithmetic number, because the mean of its divisors is an integer number (2605005).

Almost surely, 251315160 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 51315160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62520120).

51315160 is an abundant number, since it is smaller than the sum of its proper divisors (73725080).

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

51315160 is a wasteful number, since it uses less digits than its factorization.

51315160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 51315160 is about 7163.4600578212. The cubic root of 51315160 is about 371.6052968532.

Adding to 51315160 its reverse (6151315), we get a palindrome (57466475).

The spelling of 51315160 in words is "fifty-one million, three hundred fifteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 7591 15182 30364 37955 60728 75910 98683 151820 197366 303640 394732 493415 789464 986830 1282879 1973660 2565758 3947320 5131516 6414395 10263032 12828790 25657580 51315160