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107663040 = 2633517733
BaseRepresentation
bin1100110101011…
…00111011000000
321111120211221000
412122230323000
5210030204130
614403332000
72445056262
oct632547300
9244524830
10107663040
1155855921
1230081000
13193c7754
1410427b32
1596ba260
hex66acec0

107663040 has 224 divisors, whose sum is σ = 402701760. Its totient is φ = 26984448.

The previous prime is 107663011. The next prime is 107663077. The reversal of 107663040 is 40366701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107662995 and 107663013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146514 + ... + 147246.

Almost surely, 2107663040 is an apocalyptic number.

107663040 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 107663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201350880).

107663040 is an abundant number, since it is smaller than the sum of its proper divisors (295038720).

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

107663040 is a wasteful number, since it uses less digits than its factorization.

107663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 107663040 is about 10376.0801847326. The cubic root of 107663040 is about 475.7245304877.

The spelling of 107663040 in words is "one hundred seven million, six hundred sixty-three thousand, forty".