Search a number
-
+
107065071 = 352915193
BaseRepresentation
bin1100110000110…
…10111011101111
321110110110200000
412120122323233
5204402040241
614342435343
72440016031
oct630327357
9243413600
10107065071
1155487633
122ba32b53
1319248519
141030dc51
1595eceb6
hex661aeef

107065071 has 24 divisors (see below), whose sum is σ = 165918480. Its totient is φ = 68910912.

The previous prime is 107065061. The next prime is 107065073. The reversal of 107065071 is 170560701.

107065071 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 650 + 7 + 1 = 666.

It is not a de Polignac number, because 107065071 - 25 = 107065039 is a prime.

It is a super-2 number, since 2×1070650712 = 22925858856470082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107065073) 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 23 ways as a sum of consecutive naturals, for example, 550 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (6913270).

Almost surely, 2107065071 is an apocalyptic number.

107065071 is a deficient number, since it is larger than the sum of its proper divisors (58853409).

107065071 is an equidigital number, since it uses as much as digits as its factorization.

107065071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15237 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107065071 is about 10347.2252802382. The cubic root of 107065071 is about 474.8421577119.

The spelling of 107065071 in words is "one hundred seven million, sixty-five thousand, seventy-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 15193 45579 136737 410211 440597 1230633 1321791 3691899 3965373 11896119 35688357 107065071