Search a number
-
+
106782269 = 1161233683
BaseRepresentation
bin1100101110101…
…01111000111101
321102221002201212
412113111320331
5204314013034
614332414205
72434430366
oct627257075
9242832655
10106782269
1155304110
122b917365
1319179899
1410278b6d
1595942ce
hex65d5e3d

106782269 has 16 divisors (see below), whose sum is σ = 119081664. Its totient is φ = 94934400.

The previous prime is 106782257. The next prime is 106782293. The reversal of 106782269 is 962287601.

It is a de Polignac number, because none of the positive numbers 2k-106782269 is a prime.

It is a super-3 number, since 3×1067822693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106782209) 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, 156002 + ... + 156684.

It is an arithmetic number, because the mean of its divisors is an integer number (7442604).

Almost surely, 2106782269 is an apocalyptic number.

It is an amenable number.

106782269 is a deficient number, since it is larger than the sum of its proper divisors (12299395).

106782269 is a wasteful number, since it uses less digits than its factorization.

106782269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106782269 is about 10333.5506482525. The cubic root of 106782269 is about 474.4237058950.

The spelling of 106782269 in words is "one hundred six million, seven hundred eighty-two thousand, two hundred sixty-nine".

Divisors: 1 11 61 233 671 683 2563 7513 14213 41663 156343 159139 458293 1750529 9707479 106782269