Search a number
-
+
107826135 = 3522731667
BaseRepresentation
bin1100110110101…
…00101111010111
321111220010122120
412123110233113
5210100414020
614411031023
72446335624
oct633245727
9244803576
10107826135
115595740a
123013b473
1319453a61
141046b34b
1596ed740
hex66d4bd7

107826135 has 16 divisors (see below), whose sum is σ = 173287296. Its totient is φ = 57252128.

The previous prime is 107826127. The next prime is 107826137. The reversal of 107826135 is 531628701.

It is a cyclic number.

It is not a de Polignac number, because 107826135 - 23 = 107826127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107826096 and 107826105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107826137) 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, 12429 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (10830456).

Almost surely, 2107826135 is an apocalyptic number.

107826135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107826135 is a deficient number, since it is larger than the sum of its proper divisors (65461161).

107826135 is a wasteful number, since it uses less digits than its factorization.

107826135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31902.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 107826135 is about 10383.9363923321. The cubic root of 107826135 is about 475.9646288125.

The spelling of 107826135 in words is "one hundred seven million, eight hundred twenty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 15 227 681 1135 3405 31667 95001 158335 475005 7188409 21565227 35942045 107826135