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10124040 = 2335239353
BaseRepresentation
bin100110100111…
…101100001000
3201001100120110
4212213230020
510042432130
61000554320
7152024103
oct46475410
921040513
1010124040
115795383
1234829a0
132136174
1414b773a
15d4eab0
hex9a7b08

10124040 has 64 divisors (see below), whose sum is σ = 30585600. Its totient is φ = 2680832.

The previous prime is 10124039. The next prime is 10124053. The reversal of 10124040 is 4042101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28504 + ... + 28856.

It is an arithmetic number, because the mean of its divisors is an integer number (477900).

Almost surely, 210124040 is an apocalyptic number.

10124040 is a gapful number since it is divisible by the number (10) 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 10124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292800).

10124040 is an abundant number, since it is smaller than the sum of its proper divisors (20461560).

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

10124040 is a wasteful number, since it uses less digits than its factorization.

10124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10124040 is about 3181.8296623170. The cubic root of 10124040 is about 216.3305979987.

Adding to 10124040 its reverse (4042101), we get a palindrome (14166141).

The spelling of 10124040 in words is "ten million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 353 478 706 717 956 1059 1195 1412 1434 1765 1912 2118 2390 2824 2868 3530 3585 4236 4780 5295 5736 7060 7170 8472 9560 10590 14120 14340 21180 28680 42360 84367 168734 253101 337468 421835 506202 674936 843670 1012404 1265505 1687340 2024808 2531010 3374680 5062020 10124040