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10139382 = 23211411249
BaseRepresentation
bin100110101011…
…011011110110
3201002010121200
4212223123312
510043430012
61001153330
7152116611
oct46533366
921063550
1010139382
1157a5960
12348b846
132140146
1414bd178
15d543dc
hex9ab6f6

10139382 has 48 divisors (see below), whose sum is σ = 24570000. Its totient is φ = 2995200.

The previous prime is 10139351. The next prime is 10139383. The reversal of 10139382 is 28393101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10139383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7494 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 210139382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10139382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285000).

10139382 is an abundant number, since it is smaller than the sum of its proper divisors (14430618).

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

10139382 is a wasteful number, since it uses less digits than its factorization.

10139382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10139382 is about 3184.2396266613. The cubic root of 10139382 is about 216.4398188543.

It can be divided in two parts, 101393 and 82, that added together give a triangular number (101475 = T450).

The spelling of 10139382 in words is "ten million, one hundred thirty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1249 1353 2498 2706 3747 4059 7494 8118 11241 13739 22482 27478 41217 51209 82434 102418 123651 153627 247302 307254 460881 563299 921762 1126598 1689897 3379794 5069691 10139382