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10906580 = 225545329
BaseRepresentation
bin101001100110…
…101111010100
3202112010000102
4221212233110
510243002310
61025433232
7161463416
oct51465724
922463012
1010906580
11617a303
12379b818
13234b3c9
14163c9b6
15e568a5
hexa66bd4

10906580 has 12 divisors (see below), whose sum is σ = 22903860. Its totient is φ = 4362624.

The previous prime is 10906573. The next prime is 10906631. The reversal of 10906580 is 8560901.

It can be written as a sum of positive squares in 2 ways, for example, as 1444804 + 9461776 = 1202^2 + 3076^2 .

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 3 ways as a sum of consecutive naturals, for example, 272645 + ... + 272684.

It is an arithmetic number, because the mean of its divisors is an integer number (1908655).

Almost surely, 210906580 is an apocalyptic number.

10906580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906580 is an abundant number, since it is smaller than the sum of its proper divisors (11997280).

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

10906580 is a wasteful number, since it uses less digits than its factorization.

10906580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545338 (or 545336 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10906580 is about 3302.5111657646. The cubic root of 10906580 is about 221.7666297462.

The spelling of 10906580 in words is "ten million, nine hundred six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 545329 1090658 2181316 2726645 5453290 10906580