Search a number
-
+
106917340 = 22523415669
BaseRepresentation
bin1100101111101…
…10110111011100
321110011222000111
412113312313130
5204332323330
614335335404
72435532235
oct627666734
9243158014
10106917340
1155396642
122b981564
13191c61ca
14102b208c
1595be32a
hex65f6ddc

106917340 has 48 divisors (see below), whose sum is σ = 240045120. Its totient is φ = 39902720.

The previous prime is 106917331. The next prime is 106917341. The reversal of 106917340 is 43719601.

It is a happy number.

It is a super-2 number, since 2×1069173402 = 22862635185351200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106917341) 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, 16026 + ... + 21694.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2106917340 is an apocalyptic number.

106917340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106917340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120022560).

106917340 is an abundant number, since it is smaller than the sum of its proper divisors (133127780).

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

106917340 is a wasteful number, since it uses less digits than its factorization.

106917340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 106917340 is about 10340.0841389227. The cubic root of 106917340 is about 474.6236575814.

The spelling of 106917340 in words is "one hundred six million, nine hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 5669 9430 11338 18860 22676 28345 56690 113380 130387 232429 260774 464858 521548 651935 929716 1162145 1303870 2324290 2607740 4648580 5345867 10691734 21383468 26729335 53458670 106917340