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5129124 = 22372111361
BaseRepresentation
bin10011100100001110100100
3100122120211120
4103210032210
52303112444
6301533540
761411500
oct23441644
910576746
105129124
112993650
1218742b0
1310a77b0
14977300
156b4b19
hex4e43a4

5129124 has 144 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 1209600.

The previous prime is 5129101. The next prime is 5129129. The reversal of 5129124 is 4219215.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5129094 and 5129103.

It is not an unprimeable number, because it can be changed into a prime (5129129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84054 + ... + 84114.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 25129124 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 5129124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

5129124 is an abundant number, since it is smaller than the sum of its proper divisors (11494812).

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

5129124 is a wasteful number, since it uses less digits than its factorization.

5129124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 5129124 is about 2264.7569406009. The cubic root of 5129124 is about 172.4570949794.

Subtracting from 5129124 its reverse (4219215), we obtain a palindrome (909909).

It can be divided in two parts, 51291 and 24, that added together give a palindrome (51315).

The spelling of 5129124 in words is "five million, one hundred twenty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 61 66 77 78 84 91 98 122 132 143 147 154 156 182 183 196 231 244 273 286 294 308 364 366 427 429 462 539 546 572 588 637 671 732 793 854 858 924 1001 1078 1092 1274 1281 1342 1586 1617 1708 1716 1911 2002 2013 2156 2379 2548 2562 2684 2989 3003 3172 3234 3822 4004 4026 4697 4758 5124 5551 5978 6006 6468 7007 7644 8052 8723 8967 9394 9516 11102 11956 12012 14014 14091 16653 17446 17934 18788 21021 22204 26169 28028 28182 32879 33306 34892 35868 38857 42042 52338 56364 61061 65758 66612 77714 84084 98637 104676 116571 122122 131516 155428 183183 197274 233142 244244 366366 394548 427427 466284 732732 854854 1282281 1709708 2564562 5129124