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5040126 = 23271317181
BaseRepresentation
bin10011001110011111111110
3100111001202100
4103032133332
52242241001
6300005530
760561150
oct23163776
910431670
105040126
1129327a3
1218308a6
131076130
14952ad0
15698586
hex4ce7fe

5040126 has 96 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 1244160.

The previous prime is 5040071. The next prime is 5040127. The reversal of 5040126 is 6210405.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5040099 and 5040108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040127) 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, 27756 + ... + 27936.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

Almost surely, 25040126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784).

5040126 is an abundant number, since it is smaller than the sum of its proper divisors (9269442).

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

5040126 is a wasteful number, since it uses less digits than its factorization.

5040126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5040126 is about 2245.0224943194. The cubic root of 5040126 is about 171.4538064042.

The spelling of 5040126 in words is "five million, forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 181 182 221 234 238 273 306 357 362 442 543 546 663 714 819 1071 1086 1267 1326 1547 1629 1638 1989 2142 2353 2534 3077 3094 3258 3801 3978 4641 4706 6154 7059 7602 9231 9282 11403 13923 14118 16471 18462 21177 21539 22806 27693 27846 32942 40001 42354 43078 49413 55386 64617 80002 98826 120003 129234 148239 193851 240006 280007 296478 360009 387702 560014 720018 840021 1680042 2520063 5040126