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105262742 = 21317238151
BaseRepresentation
bin1100100011000…
…10111010010110
321100001220100002
412101202322112
5203421401432
614240051302
72415501314
oct621427226
9240056302
10105262742
1154466502
122b303b32
1318a67060
14dda10b4
159393e62
hex6462e96

105262742 has 16 divisors (see below), whose sum is σ = 180042912. Its totient is φ = 45724800.

The previous prime is 105262741. The next prime is 105262747. The reversal of 105262742 is 247262501.

It is a happy number.

It is a super-2 number, since 2×1052627422 = 22160489706717128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105262741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118634 + ... + 119517.

It is an arithmetic number, because the mean of its divisors is an integer number (11252682).

Almost surely, 2105262742 is an apocalyptic number.

105262742 is a deficient number, since it is larger than the sum of its proper divisors (74780170).

105262742 is a wasteful number, since it uses less digits than its factorization.

105262742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238183.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 105262742 is about 10259.7632526292. The cubic root of 105262742 is about 472.1625738689.

The spelling of 105262742 in words is "one hundred five million, two hundred sixty-two thousand, seven hundred forty-two".

Divisors: 1 2 13 17 26 34 221 442 238151 476302 3095963 4048567 6191926 8097134 52631371 105262742