Search a number
-
+
5134041220 = 2257119734369
BaseRepresentation
bin1001100100000001…
…10100000010000100
3111020210121022112211
410302000310002010
541003303304340
62205240153204
7241140426130
oct46200640204
914223538484
105134041220
1121a503a180
12bb3468804
1363a860919
14369bd43c0
15200ad25ea
hex132034084

5134041220 has 96 divisors (see below), whose sum is σ = 13580824320. Its totient is φ = 1583677440.

The previous prime is 5134041139. The next prime is 5134041221. The reversal of 5134041220 is 221404315.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5134041191 and 5134041200.

It is not an unprimeable number, because it can be changed into a prime (5134041221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132196 + ... + 166564.

It is an arithmetic number, because the mean of its divisors is an integer number (141466920).

Almost surely, 25134041220 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 5134041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790412160).

5134041220 is an abundant number, since it is smaller than the sum of its proper divisors (8446783100).

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

5134041220 is a wasteful number, since it uses less digits than its factorization.

5134041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493 (or 34491 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5134041220 is about 71652.2241106304. The cubic root of 5134041220 is about 1725.1218811873.

Adding to 5134041220 its reverse (221404315), we get a palindrome (5355445535).

The spelling of 5134041220 in words is "five billion, one hundred thirty-four million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 970 1067 1358 1540 1940 2134 2716 3395 4268 5335 6790 7469 10670 13580 14938 21340 29876 34369 37345 68738 74690 137476 149380 171845 240583 343690 378059 481166 687380 756118 962332 1202915 1512236 1890295 2405830 2646413 3333793 3780590 4811660 5292826 6667586 7561180 10585652 13232065 13335172 16668965 23336551 26464130 33337930 36671723 46673102 52928260 66675860 73343446 93346204 116682755 146686892 183358615 233365510 256702061 366717230 466731020 513404122 733434460 1026808244 1283510305 2567020610 5134041220