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10126038 = 2313131991
BaseRepresentation
bin100110101000…
…001011010110
3201001110022110
4212220023112
510043013123
61001011450
7152032656
oct46501326
921043273
1010126038
11579692a
123483b86
132137050
1414b8366
15d50493
hex9a82d6

10126038 has 32 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 3088800.

The previous prime is 10126037. The next prime is 10126063. The reversal of 10126038 is 83062101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126037) by changing a digit.

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, 9723 + ... + 10713.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 210126038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

10126038 is an abundant number, since it is smaller than the sum of its proper divisors (11872554).

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

10126038 is a wasteful number, since it uses less digits than its factorization.

10126038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10126038 is about 3182.1436171235. The cubic root of 10126038 is about 216.3448281580.

Adding to 10126038 its reverse (83062101), we get a palindrome (93188139).

The spelling of 10126038 in words is "ten million, one hundred twenty-six thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 991 1703 1982 2973 3406 5109 5946 10218 12883 25766 38649 77298 129821 259642 389463 778926 1687673 3375346 5063019 10126038