Search a number
-
+
10124208 = 2432167421
BaseRepresentation
bin100110100111…
…101110110000
3201001100210200
4212213232300
510042433313
61000555200
7152024433
oct46475660
921040720
1010124208
115795516
123482b00
132136273
1414b781a
15d4eb73
hex9a7bb0

10124208 has 60 divisors (see below), whose sum is σ = 28571088. Its totient is φ = 3346560.

The previous prime is 10124203. The next prime is 10124237. The reversal of 10124208 is 80242101.

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

It is not an unprimeable number, because it can be changed into a prime (10124203) 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 11 ways as a sum of consecutive naturals, for example, 23838 + ... + 24258.

Almost surely, 210124208 is an apocalyptic number.

10124208 is a gapful number since it is divisible by the number (18) 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 10124208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285544).

10124208 is an abundant number, since it is smaller than the sum of its proper divisors (18446880).

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

10124208 is a wasteful number, since it uses less digits than its factorization.

10124208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10124208 is about 3181.8560621122. The cubic root of 10124208 is about 216.3317946007.

Adding to 10124208 its reverse (80242101), we get a palindrome (90366309).

The spelling of 10124208 in words is "ten million, one hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 421 501 668 842 1002 1263 1336 1503 1684 2004 2526 2672 3006 3368 3789 4008 5052 6012 6736 7578 8016 10104 12024 15156 20208 24048 30312 60624 70307 140614 210921 281228 421842 562456 632763 843684 1124912 1265526 1687368 2531052 3374736 5062104 10124208