Search a number
-
+
10636880 = 245132961
BaseRepresentation
bin101000100100…
…111001010000
3202000102001112
4220210321100
510210340010
61015552452
7156261212
oct50447120
922012045
1010636880
116005711
12368b728
132285717
1415ac5b2
15e01a05
hexa24e50

10636880 has 20 divisors (see below), whose sum is σ = 24730932. Its totient is φ = 4254720.

The previous prime is 10636861. The next prime is 10636889. The reversal of 10636880 is 8863601.

It can be written as a sum of positive squares in 2 ways, for example, as 4426816 + 6210064 = 2104^2 + 2492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106368802 = 226286432268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10636889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66401 + ... + 66560.

Almost surely, 210636880 is an apocalyptic number.

10636880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10636880 is an abundant number, since it is smaller than the sum of its proper divisors (14094052).

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

10636880 is a wasteful number, since it uses less digits than its factorization.

10636880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132974 (or 132968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10636880 is about 3261.4230023105. The cubic root of 10636880 is about 219.9233893029.

The spelling of 10636880 in words is "ten million, six hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 132961 265922 531844 664805 1063688 1329610 2127376 2659220 5318440 10636880