Search a number
-
+
10666000 = 24535333
BaseRepresentation
bin101000101100…
…000000010000
3202001220000001
4220230000100
510212303000
61020335344
7156442132
oct50540020
922056001
1010666000
116025584
1236a4554
132295a57
1415b9052
15e0a46a
hexa2c010

10666000 has 40 divisors (see below), whose sum is σ = 25795224. Its totient is φ = 4265600.

The previous prime is 10665983. The next prime is 10666001. The reversal of 10666000 is 66601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 10419984 = 496^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106660002 = 227527112000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 4666.

Almost surely, 210666000 is an apocalyptic number.

10666000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666000 is an abundant number, since it is smaller than the sum of its proper divisors (15129224).

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

10666000 is an equidigital number, since it uses as much as digits as its factorization.

10666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10666000 is about 3265.8842600435. The cubic root of 10666000 is about 220.1238971540.

The spelling of 10666000 in words is "ten million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5333 10666 21332 26665 42664 53330 85328 106660 133325 213320 266650 426640 533300 666625 1066600 1333250 2133200 2666500 5333000 10666000