Search a number
-
+
10078866 = 2327411951
BaseRepresentation
bin100110011100…
…101010010010
3200222001121100
4212130222102
510040010431
61000005230
7151445310
oct46345222
920861540
1010078866
115764446
123460816
13211b735
1414a50b0
15d414e6
hex99ca92

10078866 has 48 divisors (see below), whose sum is σ = 25579008. Its totient is φ = 2808000.

The previous prime is 10078829. The next prime is 10078867. The reversal of 10078866 is 66887001.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10078866.

It is not an unprimeable number, because it can be changed into a prime (10078867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (532896).

Almost surely, 210078866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10078866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789504).

10078866 is an abundant number, since it is smaller than the sum of its proper divisors (15500142).

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

10078866 is a wasteful number, since it uses less digits than its factorization.

10078866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 10078866 is about 3174.7229800409. The cubic root of 10078866 is about 216.0083587300.

The spelling of 10078866 in words is "ten million, seventy-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 1951 2583 3902 5166 5853 11706 13657 17559 27314 35118 40971 79991 81942 122913 159982 239973 245826 479946 559937 719919 1119874 1439838 1679811 3359622 5039433 10078866