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5106024 = 2333711307
BaseRepresentation
bin10011011110100101101000
3100121102011000
4103132211220
52301343044
6301235000
761254240
oct23364550
910542130
105106024
112978260
121862a60
13109a121
1496cb20
156acd69
hex4de968

5106024 has 128 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1321920.

The previous prime is 5106011. The next prime is 5106029. The reversal of 5106024 is 4206015.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5105988 and 5106006.

It is not an unprimeable number, because it can be changed into a prime (5106029) 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, 16479 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 25106024 is an apocalyptic number.

5106024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

5106024 is an abundant number, since it is smaller than the sum of its proper divisors (12634776).

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

5106024 is a wasteful number, since it uses less digits than its factorization.

5106024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

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

The square root of 5106024 is about 2259.6513005329. The cubic root of 5106024 is about 172.1978073996.

Subtracting from 5106024 its reverse (4206015), we obtain a palindrome (900009).

The spelling of 5106024 in words is "five million, one hundred six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 307 308 378 396 462 504 594 614 616 693 756 792 921 924 1188 1228 1386 1512 1842 1848 2079 2149 2376 2456 2763 2772 3377 3684 4158 4298 5526 5544 6447 6754 7368 8289 8316 8596 10131 11052 12894 13508 16578 16632 17192 19341 20262 22104 23639 25788 27016 30393 33156 38682 40524 47278 51576 58023 60786 66312 70917 77364 81048 91179 94556 116046 121572 141834 154728 182358 189112 212751 232092 243144 283668 364716 425502 464184 567336 638253 729432 851004 1276506 1702008 2553012 5106024