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123648016 = 2426172953
BaseRepresentation
bin1110101111010…
…11100000010000
322121122222012011
413113223200100
5223123214031
620134112304
73030663562
oct727534020
9277588164
10123648016
1163883648
12354ab694
131c80350b
14125c9332
15acc66b1
hex75eb810

123648016 has 20 divisors (see below), whose sum is σ = 239740732. Its totient is φ = 61779456.

The previous prime is 123648001. The next prime is 123648017. The reversal of 123648016 is 610846321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112784400 + 10863616 = 10620^2 + 3296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123648017) 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 3 ways as a sum of consecutive naturals, for example, 40396 + ... + 43348.

Almost surely, 2123648016 is an apocalyptic number.

123648016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123648016 is a deficient number, since it is larger than the sum of its proper divisors (116092716).

123648016 is a wasteful number, since it uses less digits than its factorization.

123648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 123648016 is about 11119.7129459353. The cubic root of 123648016 is about 498.1908162708.

The spelling of 123648016 in words is "one hundred twenty-three million, six hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 2617 2953 5234 5906 10468 11812 20936 23624 41872 47248 7728001 15456002 30912004 61824008 123648016