Search a number
-
+
51170680 = 23511176841
BaseRepresentation
bin1100001100110…
…0110101111000
310120021201222101
43003030311320
5101044430210
65024433144
71160641441
oct303146570
9116251871
1051170680
1126980320
12151787b4
13a7a8212
146b202c8
15475ba3a
hex30ccd78

51170680 has 64 divisors (see below), whose sum is σ = 133008480. Its totient is φ = 17510400.

The previous prime is 51170671. The next prime is 51170681. The reversal of 51170680 is 8607115.

It is a happy number.

51170680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51170681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4060 + ... + 10900.

Almost surely, 251170680 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 51170680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66504240).

51170680 is an abundant number, since it is smaller than the sum of its proper divisors (81837800).

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

51170680 is a wasteful number, since it uses less digits than its factorization.

51170680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 51170680 is about 7153.3684373168. The cubic root of 51170680 is about 371.2562122251.

Adding to 51170680 its reverse (8607115), we get a palindrome (59777795).

The spelling of 51170680 in words is "fifty-one million, one hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 6841 7480 13682 27364 34205 54728 68410 75251 116297 136820 150502 232594 273640 301004 376255 465188 581485 602008 752510 930376 1162970 1279267 1505020 2325940 2558534 3010040 4651880 5117068 6396335 10234136 12792670 25585340 51170680