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10130724 = 2233194937
BaseRepresentation
bin100110101001…
…010100100100
3201001200202000
4212221110210
510043140344
61001045300
7152052432
oct46512444
921050660
1010130724
11579a3aa
123486830
132139216
1414b9d52
15d51a69
hex9a9524

10130724 has 48 divisors (see below), whose sum is σ = 27652800. Its totient is φ = 3198528.

The previous prime is 10130719. The next prime is 10130753. The reversal of 10130724 is 42703101.

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 = 10130697 and 10130706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (576100).

Almost surely, 210130724 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 10130724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826400).

10130724 is an abundant number, since it is smaller than the sum of its proper divisors (17522076).

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

10130724 is a wasteful number, since it uses less digits than its factorization.

10130724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10130724 is about 3182.8798280802. The cubic root of 10130724 is about 216.3781954540.

Adding to 10130724 its reverse (42703101), we get a palindrome (52833825).

The spelling of 10130724 in words is "ten million, one hundred thirty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 4937 9874 14811 19748 29622 44433 59244 88866 93803 133299 177732 187606 266598 281409 375212 533196 562818 844227 1125636 1688454 2532681 3376908 5065362 10130724