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10145538 = 23213191227
BaseRepresentation
bin100110101100…
…111100000010
3201002110001200
4212230330002
510044124123
61001242030
7152143554
oct46547402
921073050
1010145538
1157aa547
123493316
132142ba0
1414c14d4
15d56143
hex9acf02

10145538 has 48 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 3091680.

The previous prime is 10145503. The next prime is 10145567. The reversal of 10145538 is 83554101.

10145538 is a `hidden beast` number, since 101 + 4 + 553 + 8 = 666.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44581 + ... + 44807.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 210145538 is an apocalyptic number.

10145538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

10145538 is an abundant number, since it is smaller than the sum of its proper divisors (13756158).

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

10145538 is a wasteful number, since it uses less digits than its factorization.

10145538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10145538 is about 3185.2061157796. The cubic root of 10145538 is about 216.4836129095.

Adding to 10145538 its reverse (83554101), we get a palindrome (93699639).

The spelling of 10145538 in words is "ten million, one hundred forty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 227 234 382 454 573 681 1146 1362 1719 2043 2483 2951 3438 4086 4966 5902 7449 8853 14898 17706 22347 26559 43357 44694 53118 86714 130071 260142 390213 563641 780426 1127282 1690923 3381846 5072769 10145538