Search a number
-
+
104066766 = 232231731453
BaseRepresentation
bin1100011001111…
…10111011001110
321020211010202200
412030332323032
5203120114031
614154302330
72402360436
oct614767316
9236733680
10104066766
11538199a1
122aa279a6
131873888b
14db6d2c6
1592098e6
hex633eece

104066766 has 48 divisors (see below), whose sum is σ = 236804256. Its totient is φ = 32966208.

The previous prime is 104066749. The next prime is 104066773. The reversal of 104066766 is 667660401.

It is a self number, because there is not a number n which added to its sum of digits gives 104066766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70896 + ... + 72348.

It is an arithmetic number, because the mean of its divisors is an integer number (4933422).

Almost surely, 2104066766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104066766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118402128).

104066766 is an abundant number, since it is smaller than the sum of its proper divisors (132737490).

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

104066766 is a wasteful number, since it uses less digits than its factorization.

104066766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 104066766 is about 10201.3119744472. The cubic root of 104066766 is about 470.3675501269.

The spelling of 104066766 in words is "one hundred four million, sixty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 346 414 519 1038 1453 1557 2906 3114 3979 4359 7958 8718 11937 13077 23874 26154 33419 35811 66838 71622 100257 200514 251369 300771 502738 601542 754107 1508214 2262321 4524642 5781487 11562974 17344461 34688922 52033383 104066766