[go: up one dir, main page]

Search a number
-
+
803142 = 233107139
BaseRepresentation
bin11000100000101000110
31111210201000
43010011012
5201200032
625114130
76553344
oct3040506
91453630
10803142
114a945a
12328946
13221742
1416c994
1510ce7c
hexc4146

803142 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 263304.

The previous prime is 803141. The next prime is 803171. The reversal of 803142 is 241308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803142.

It is not an unprimeable number, because it can be changed into a prime (803141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5709 + ... + 5847.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2803142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

803142 is an abundant number, since it is smaller than the sum of its proper divisors (1011258).

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

803142 is a wasteful number, since it uses less digits than its factorization.

803142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 803142 is about 896.1819011785. The cubic root of 803142 is about 92.9531501801.

The spelling of 803142 in words is "eight hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 107 139 214 278 321 417 642 834 963 1251 1926 2502 2889 3753 5778 7506 14873 29746 44619 89238 133857 267714 401571 803142