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5000112 = 2432132671
BaseRepresentation
bin10011000100101110110000
3100102000212100
4103010232300
52240000422
6255100400
760333405
oct23045660
910360770
105000112
112905727
121811700
131060b60
149422ac
1568b7ac
hex4c4bb0

5000112 has 60 divisors (see below), whose sum is σ = 15075424. Its totient is φ = 1537920.

The previous prime is 5000111. The next prime is 5000113. The reversal of 5000112 is 2110005.

It is a happy number.

5000112 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (5000111) and next prime (5000113).

It is a super-2 number, since 2×50001122 = 50002240025088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 5000094 and 5000103.

It is not an unprimeable number, because it can be changed into a prime (5000111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537 + ... + 3207.

Almost surely, 25000112 is an apocalyptic number.

5000112 is a gapful number since it is divisible by the number (52) 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 5000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537712).

5000112 is an abundant number, since it is smaller than the sum of its proper divisors (10075312).

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

5000112 is a wasteful number, since it uses less digits than its factorization.

5000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5000112 is about 2236.0930213209. The cubic root of 5000112 is about 170.9988714402.

Adding to 5000112 its reverse (2110005), we get a palindrome (7110117).

The spelling of 5000112 in words is "five million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2671 5342 8013 10684 16026 21368 24039 32052 34723 42736 48078 64104 69446 96156 104169 128208 138892 192312 208338 277784 312507 384624 416676 555568 625014 833352 1250028 1666704 2500056 5000112