Search a number
-
+
10127973 = 33791243
BaseRepresentation
bin100110101000…
…101001100101
3201001112222010
4212220221211
510043043343
61001024433
7152041422
oct46505145
921045863
1010127973
115798329
123485119
132137bab
1414b8d49
15d50d33
hex9a8a65

10127973 has 8 divisors (see below), whose sum is σ = 13869088. Its totient is φ = 6569424.

The previous prime is 10127963. The next prime is 10127993. The reversal of 10127973 is 37972101.

10127973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10127973 - 25 = 10127941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10127973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127963) 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 7 ways as a sum of consecutive naturals, for example, 45511 + ... + 45732.

It is an arithmetic number, because the mean of its divisors is an integer number (1733636).

Almost surely, 210127973 is an apocalyptic number.

It is an amenable number.

10127973 is a deficient number, since it is larger than the sum of its proper divisors (3741115).

10127973 is an equidigital number, since it uses as much as digits as its factorization.

10127973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91283.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 10127973 is about 3182.4476429315. The cubic root of 10127973 is about 216.3586078343.

The spelling of 10127973 in words is "ten million, one hundred twenty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 37 111 91243 273729 3375991 10127973