Search a number
-
+
5104512 = 27337211
BaseRepresentation
bin10011011110001110000000
3100121100002000
4103132032000
52301321022
6301224000
761246650
oct23361600
910540060
105104512
112977106
121862000
13109952a
1496c360
156ac6ac
hex4de380

5104512 has 128 divisors (see below), whose sum is σ = 17299200. Its totient is φ = 1451520.

The previous prime is 5104469. The next prime is 5104513. The reversal of 5104512 is 2154015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104513) 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, 24087 + ... + 24297.

It is an arithmetic number, because the mean of its divisors is an integer number (135150).

Almost surely, 25104512 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 5104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649600).

5104512 is an abundant number, since it is smaller than the sum of its proper divisors (12194688).

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

5104512 is a wasteful number, since it uses less digits than its factorization.

5104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5104512 is about 2259.3167108664. The cubic root of 5104512 is about 172.1808086031.

Adding to 5104512 its reverse (2154015), we get a palindrome (7258527).

The spelling of 5104512 in words is "five million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 211 216 224 252 288 336 378 384 422 432 448 504 576 633 672 756 844 864 896 1008 1152 1266 1344 1477 1512 1688 1728 1899 2016 2532 2688 2954 3024 3376 3456 3798 4032 4431 5064 5697 5908 6048 6752 7596 8064 8862 10128 11394 11816 12096 13293 13504 15192 17724 20256 22788 23632 24192 26586 27008 30384 35448 39879 40512 45576 47264 53172 60768 70896 79758 81024 91152 94528 106344 121536 141792 159516 182304 189056 212688 243072 283584 319032 364608 425376 567168 638064 729216 850752 1276128 1701504 2552256 5104512