Search a number
-
+
10125024 = 2537131961
BaseRepresentation
bin100110100111…
…111011100000
3201001101220220
4212213323200
510043000044
61001003040
7152030010
oct46477340
921041826
1010125024
115796098
123483480
132136750
1414b7c40
15d50019
hex9a7ee0

10125024 has 192 divisors, whose sum is σ = 34997760. Its totient is φ = 2488320.

The previous prime is 10125023. The next prime is 10125041. The reversal of 10125024 is 42052101.

It is a super-2 number, since 2×101250242 = 205032222001152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10124994 and 10125012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165954 + ... + 166014.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 210125024 is an apocalyptic number.

10125024 is a gapful number since it is divisible by the number (14) 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 10125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10125024 is an abundant number, since it is smaller than the sum of its proper divisors (24872736).

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

10125024 is a wasteful number, since it uses less digits than its factorization.

10125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10125024 is about 3181.9842865734. The cubic root of 10125024 is about 216.3376064793.

Adding to 10125024 its reverse (42052101), we get a palindrome (52177125).

The spelling of 10125024 in words is "ten million, one hundred twenty-five thousand, twenty-four".