Search a number
-
+
1806272 = 26132167
BaseRepresentation
bin110111000111111000000
310101202201222
412320333000
5430300042
6102414212
721232046
oct6707700
93352658
101806272
111024096
12731368
134b3200
14350396
1525a2d2
hex1b8fc0

1806272 has 42 divisors (see below), whose sum is σ = 3904488. Its totient is φ = 828672.

The previous prime is 1806269. The next prime is 1806281. The reversal of 1806272 is 2726081.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10733 + ... + 10899.

It is an arithmetic number, because the mean of its divisors is an integer number (92964).

21806272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952244).

1806272 is an abundant number, since it is smaller than the sum of its proper divisors (2098216).

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

1806272 is a wasteful number, since it uses less digits than its factorization.

1806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1806272 is about 1343.9761902653. The cubic root of 1806272 is about 121.7851634255.

The spelling of 1806272 in words is "one million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 167 169 208 334 338 416 668 676 832 1336 1352 2171 2672 2704 4342 5344 5408 8684 10688 10816 17368 28223 34736 56446 69472 112892 138944 225784 451568 903136 1806272