Search a number
-
+
26665000 = 23545333
BaseRepresentation
bin110010110111…
…0000000101000
31212011201111121
41211232000220
523311240000
62351305024
7442435345
oct145560050
955151447
1026665000
111406289a
128b1b174
1356a800b
1437817cc
15251ab1a
hex196e028

26665000 has 40 divisors (see below), whose sum is σ = 62487810. Its totient is φ = 10664000.

The previous prime is 26664977. The next prime is 26665013. The reversal of 26665000 is 56662.

It can be written as a sum of positive squares in 5 ways, for example, as 5560164 + 21104836 = 2358^2 + 4594^2 .

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

It is a super-2 number, since 2×266650002 = 1422044450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2334 + ... + 7666.

Almost surely, 226665000 is an apocalyptic number.

26665000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31243905).

26665000 is an abundant number, since it is smaller than the sum of its proper divisors (35822810).

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

26665000 is an equidigital number, since it uses as much as digits as its factorization.

26665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 26665000 is about 5163.8164181156. The cubic root of 26665000 is about 298.7540921342.

The spelling of 26665000 in words is "twenty-six million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 5333 10666 21332 26665 42664 53330 106660 133325 213320 266650 533300 666625 1066600 1333250 2666500 3333125 5333000 6666250 13332500 26665000