Search a number
-
+
5110320 = 2435107199
BaseRepresentation
bin10011011111101000110000
3100121122001010
4103133220300
52302012240
6301310520
761302615
oct23375060
910548033
105110320
112980506
121865440
13109c077
1497050c
156ae280
hex4dfa30

5110320 has 80 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1343232.

The previous prime is 5110307. The next prime is 5110327. The reversal of 5110320 is 230115.

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

It is a super-2 number, since 2×51103202 = 52230741004800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5110296 and 5110305.

It is not an unprimeable number, because it can be changed into a prime (5110327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25581 + ... + 25779.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 25110320 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 5110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

5110320 is an abundant number, since it is smaller than the sum of its proper divisors (10960080).

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

5110320 is a wasteful number, since it uses less digits than its factorization.

5110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

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

The square root of 5110320 is about 2260.6016898162. The cubic root of 5110320 is about 172.2460872621.

Adding to 5110320 its reverse (230115), we get a palindrome (5340435).

The spelling of 5110320 in words is "five million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 199 214 240 321 398 428 535 597 642 796 856 995 1070 1194 1284 1592 1605 1712 1990 2140 2388 2568 2985 3184 3210 3980 4280 4776 5136 5970 6420 7960 8560 9552 11940 12840 15920 21293 23880 25680 42586 47760 63879 85172 106465 127758 170344 212930 255516 319395 340688 425860 511032 638790 851720 1022064 1277580 1703440 2555160 5110320