Search a number
-
+
51168660 = 22351137547
BaseRepresentation
bin1100001100110…
…0010110010100
310120021122012120
43003030112110
5101044344120
65024415540
71160632524
oct303142624
9116248176
1051168660
1126979854
12151775b0
13a7a731a
146b1d684
15475b140
hex30cc594

51168660 has 48 divisors (see below), whose sum is σ = 144559296. Its totient is φ = 13522432.

The previous prime is 51168659. The next prime is 51168661. The reversal of 51168660 is 6686115.

It is an interprime number because it is at equal distance from previous prime (51168659) and next prime (51168661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51168661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3007 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (3011652).

Almost surely, 251168660 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 51168660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72279648).

51168660 is an abundant number, since it is smaller than the sum of its proper divisors (93390636).

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

51168660 is a wasteful number, since it uses less digits than its factorization.

51168660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 51168660 is about 7153.2272436992. The cubic root of 51168660 is about 371.2513269574.

The spelling of 51168660 in words is "fifty-one million, one hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 7547 15094 22641 30188 37735 45282 75470 90564 113205 150940 226410 452820 852811 1705622 2558433 3411244 4264055 5116866 8528110 10233732 12792165 17056220 25584330 51168660