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105939024 = 2437333011
BaseRepresentation
bin1100101000010…
…00000001010000
321101100021000120
412110020001100
5204110022044
614302350240
72424316062
oct624100120
9241307016
10105939024
1154888614
122b58b380
1318c42b19
14100d9732
159479519
hex6508050

105939024 has 40 divisors (see below), whose sum is σ = 274140192. Its totient is φ = 35253120.

The previous prime is 105939023. The next prime is 105939037. The reversal of 105939024 is 420939501.

It is a super-2 number, since 2×1059390242 = 22446153612145152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105939023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33679 + ... + 36689.

Almost surely, 2105939024 is an apocalyptic number.

It is an amenable number.

105939024 is an abundant number, since it is smaller than the sum of its proper divisors (168201168).

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

105939024 is a wasteful number, since it uses less digits than its factorization.

105939024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105939024 is about 10292.6684586651. The cubic root of 105939024 is about 473.1715843988.

The spelling of 105939024 in words is "one hundred five million, nine hundred thirty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 733 1466 2199 2932 3011 4398 5864 6022 8796 9033 11728 12044 17592 18066 24088 35184 36132 48176 72264 144528 2207063 4414126 6621189 8828252 13242378 17656504 26484756 35313008 52969512 105939024