Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
50160 = 24351119
BaseRepresentation
bin1100001111110000
32112210210
430033300
53101120
61024120
7266145
oct141760
975723
1050160
1134760
1225040
1319aa6
14143cc
15ece0
hexc3f0

50160 has 80 divisors (see below), whose sum is σ = 178560. Its totient is φ = 11520.

The previous prime is 50159. The next prime is 50177. The reversal of 50160 is 6105.

50160 = 232 + 242 + ... + 542.

50160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

250160 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 50160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

50160 is an abundant number, since it is smaller than the sum of its proper divisors (128400).

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

50160 is a wasteful number, since it uses less digits than its factorization.

50160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 50160 is about 223.9642828667. The cubic root of 50160 is about 36.8795694807.

Adding to 50160 its reverse (6105), we get a palindrome (56265).

It can be divided in two parts, 501 and 60, that added together give a triangular number (561 = T33).

The spelling of 50160 in words is "fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160