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106244740 = 22572108413
BaseRepresentation
bin1100101010100…
…10101010000100
321101220210101101
412111102222010
5204144312430
614313105444
72430031300
oct625225204
9241823341
10106244740
1154a77278
122b6b8284
131901c014
1410178d00
1594d9dca
hex6552a84

106244740 has 36 divisors (see below), whose sum is σ = 259543116. Its totient is φ = 36426432.

The previous prime is 106244717. The next prime is 106244759. The reversal of 106244740 is 47442601.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 78535044 = 5264^2 + 8862^2 .

It is a super-2 number, since 2×1062447402 = 22575889555335200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106244699 and 106244708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53227 + ... + 55186.

It is an arithmetic number, because the mean of its divisors is an integer number (7209531).

Almost surely, 2106244740 is an apocalyptic number.

106244740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106244740 is an abundant number, since it is smaller than the sum of its proper divisors (153298376).

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

106244740 is a wasteful number, since it uses less digits than its factorization.

106244740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108436 (or 108427 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 106244740 is about 10307.5089134087. The cubic root of 106244740 is about 473.6263025723.

The spelling of 106244740 in words is "one hundred six million, two hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 108413 216826 433652 542065 758891 1084130 1517782 2168260 3035564 3794455 5312237 7588910 10624474 15177820 21248948 26561185 53122370 106244740