Search a number
-
+
10149993 = 327732207
BaseRepresentation
bin100110101110…
…000001101001
3201002200011200
4212232001221
510044244433
61001314413
7152162550
oct46560151
921080150
1010149993
115802927
123495a09
132144c19
1414c2d97
15d57613
hex9ae069

10149993 has 24 divisors (see below), whose sum is σ = 16992768. Its totient is φ = 5717952.

The previous prime is 10149961. The next prime is 10150013. The reversal of 10149993 is 39994101.

It is not a de Polignac number, because 10149993 - 25 = 10149961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10149943) 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 23 ways as a sum of consecutive naturals, for example, 3496 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (708032).

Almost surely, 210149993 is an apocalyptic number.

It is an amenable number.

10149993 is a deficient number, since it is larger than the sum of its proper divisors (6842775).

10149993 is a wasteful number, since it uses less digits than its factorization.

10149993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 10149993 is about 3185.9053658262. The cubic root of 10149993 is about 216.5152949279.

The spelling of 10149993 in words is "ten million, one hundred forty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 63 73 219 511 657 1533 2207 4599 6621 15449 19863 46347 139041 161111 483333 1127777 1449999 3383331 10149993