Search a number
-
+
106506438 = 23194122787
BaseRepresentation
bin1100101100100…
…10100011000110
321102102002100220
412112102203012
5204231201223
614322445210
72432201253
oct626224306
9242362326
10106506438
1155135955
122b803806
13190b117c
141020642a
15953c6e3
hex65928c6

106506438 has 32 divisors (see below), whose sum is σ = 229703040. Its totient is φ = 32811840.

The previous prime is 106506437. The next prime is 106506451. The reversal of 106506438 is 834605601.

It is a super-2 number, since 2×1065064382 = 22687242670895688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106506399 and 106506408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6720 + ... + 16067.

It is an arithmetic number, because the mean of its divisors is an integer number (7178220).

Almost surely, 2106506438 is an apocalyptic number.

106506438 is an abundant number, since it is smaller than the sum of its proper divisors (123196602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106506438 is a wasteful number, since it uses less digits than its factorization.

106506438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22852.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106506438 is about 10320.1956376805. The cubic root of 106506438 is about 474.0148564839.

The spelling of 106506438 in words is "one hundred six million, five hundred six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 246 779 1558 2337 4674 22787 45574 68361 136722 432953 865906 934267 1298859 1868534 2597718 2802801 5605602 17751073 35502146 53253219 106506438