Search a number
-
+
10139448 = 23311193199
BaseRepresentation
bin100110101011…
…011100111000
3201002010201010
4212223130320
510043430243
61001153520
7152120034
oct46533470
921063633
1010139448
1157a5a10
12348b8a0
132140197
1414bd1c4
15d54433
hex9ab738

10139448 has 64 divisors (see below), whose sum is σ = 27936000. Its totient is φ = 3041280.

The previous prime is 10139447. The next prime is 10139453. The reversal of 10139448 is 84493101.

It is a happy number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10139447) 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 15 ways as a sum of consecutive naturals, for example, 50853 + ... + 51051.

It is an arithmetic number, because the mean of its divisors is an integer number (436500).

Almost surely, 210139448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10139448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968000).

10139448 is an abundant number, since it is smaller than the sum of its proper divisors (17796552).

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

10139448 is a wasteful number, since it uses less digits than its factorization.

10139448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10139448 is about 3184.2499901861. The cubic root of 10139448 is about 216.4402884752.

The spelling of 10139448 in words is "ten million, one hundred thirty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 199 264 386 398 579 597 772 796 1158 1194 1544 1592 2123 2189 2316 2388 4246 4378 4632 4776 6369 6567 8492 8756 12738 13134 16984 17512 25476 26268 38407 50952 52536 76814 115221 153628 230442 307256 422477 460884 844954 921768 1267431 1689908 2534862 3379816 5069724 10139448