Search a number
-
+
51211160 = 235711131279
BaseRepresentation
bin1100001101011…
…0101110011000
310120100210111122
43003112232120
5101102224120
65025344412
71161200450
oct303265630
9116323448
1051211160
11269a8780
1215198108
13a7c0780
146b30d60
154768a25
hex30d6b98

51211160 has 128 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 14722560.

The previous prime is 51211159. The next prime is 51211169. The reversal of 51211160 is 6111215.

51211160 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 (51211169) 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 31 ways as a sum of consecutive naturals, for example, 39401 + ... + 40679.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 251211160 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 51211160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

51211160 is an abundant number, since it is smaller than the sum of its proper divisors (103617640).

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

51211160 is a wasteful number, since it uses less digits than its factorization.

51211160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 51211160 is about 7156.1973142165. The cubic root of 51211160 is about 371.3540839641.

Adding to 51211160 its reverse (6111215), we get a palindrome (57322375).

The spelling of 51211160 in words is "fifty-one million, two hundred eleven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1279 1430 1540 1820 2002 2558 2860 3080 3640 4004 5005 5116 5720 6395 8008 8953 10010 10232 12790 14069 16627 17906 20020 25580 28138 33254 35812 40040 44765 51160 56276 66508 70345 71624 83135 89530 98483 112552 116389 133016 140690 166270 179060 182897 196966 232778 281380 332540 358120 365794 393932 465556 492415 562760 581945 665080 731588 787864 914485 931112 984830 1163890 1280279 1463176 1828970 1969660 2327780 2560558 3657940 3939320 4655560 5121116 6401395 7315880 10242232 12802790 25605580 51211160