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65106104 = 2372307541
BaseRepresentation
bin1111100001011…
…1000010111000
311112111201210012
43320113002320
5113131343404
610243241052
71420251500
oct370270270
9145451705
1065106104
11338291a8
1219979188
131064712b
14890aa00
155ab0a6e
hex3e170b8

65106104 has 48 divisors (see below), whose sum is σ = 142730280. Its totient is φ = 27760320.

The previous prime is 65106091. The next prime is 65106127. The reversal of 65106104 is 40160156.

65106104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65106104.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 120074 + ... + 120614.

Almost surely, 265106104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71365140).

65106104 is an abundant number, since it is smaller than the sum of its proper divisors (77624176).

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

65106104 is a wasteful number, since it uses less digits than its factorization.

65106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 65106104 is about 8068.8353558615. The cubic root of 65106104 is about 402.2912338923.

The spelling of 65106104 in words is "sixty-five million, one hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 307 392 541 614 1082 1228 2149 2164 2456 3787 4298 4328 7574 8596 15043 15148 17192 26509 30086 30296 53018 60172 106036 120344 166087 212072 332174 664348 1162609 1328696 2325218 4650436 8138263 9300872 16276526 32553052 65106104