Search a number
-
+
104642167 = 783389463
BaseRepresentation
bin1100011110010…
…11011001110111
321021220101001211
412033023121313
5203242022132
614214502251
72410305130
oct617133167
9237811054
10104642167
1154082233
122b064987
13188aa756
14dc7cc87
1592c0147
hex63cb677

104642167 has 16 divisors (see below), whose sum is σ = 121605120. Its totient is φ = 88193952.

The previous prime is 104642159. The next prime is 104642173. The reversal of 104642167 is 761246401.

It is not a de Polignac number, because 104642167 - 23 = 104642159 is a prime.

It is a super-2 number, since 2×1046421672 = 21899966228911778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104642467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225778 + ... + 226240.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2104642167 is an apocalyptic number.

104642167 is a deficient number, since it is larger than the sum of its proper divisors (16962953).

104642167 is an equidigital number, since it uses as much as digits as its factorization.

104642167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 104642167 is about 10229.4754019940. The cubic root of 104642167 is about 471.2328685313.

Adding to 104642167 its reverse (761246401), we get a palindrome (865888568).

The spelling of 104642167 in words is "one hundred four million, six hundred forty-two thousand, one hundred sixty-seven".

Divisors: 1 7 83 389 463 581 2723 3241 32287 38429 180107 226009 269003 1260749 14948881 104642167