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10182973 = 293147241
BaseRepresentation
bin100110110110…
…000100111101
3201011100102011
4212312010331
510101323343
61002131221
7152360653
oct46660475
921140364
1010182973
115825689
1234b0b11
132156c38
1414d0dd3
15d6229d
hex9b613d

10182973 has 16 divisors (see below), whose sum is σ = 11151360. Its totient is φ = 9273600.

The previous prime is 10182967. The next prime is 10183003. The reversal of 10182973 is 37928101.

It is a cyclic number.

It is not a de Polignac number, because 10182973 - 221 = 8085821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182923) 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, 42133 + ... + 42373.

It is an arithmetic number, because the mean of its divisors is an integer number (696960).

Almost surely, 210182973 is an apocalyptic number.

It is an amenable number.

10182973 is a deficient number, since it is larger than the sum of its proper divisors (968387).

10182973 is a wasteful number, since it uses less digits than its factorization.

10182973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 10182973 is about 3191.0770908895. The cubic root of 10182973 is about 216.7495464649.

The spelling of 10182973 in words is "ten million, one hundred eighty-two thousand, nine hundred seventy-three".

Divisors: 1 29 31 47 241 899 1363 1457 6989 7471 11327 42253 216659 328483 351137 10182973