[go: up one dir, main page]

Search a number
-
+
1129842 = 2337361
BaseRepresentation
bin100010011110101110010
32010101212000
410103311302
5242123332
640114430
712414000
oct4236562
92111760
101129842
1170195a
12465a16
1330735c
14215a70
15174b7c
hex113d72

1129842 has 64 divisors (see below), whose sum is σ = 2976000. Its totient is φ = 317520.

The previous prime is 1129841. The next prime is 1129847. The reversal of 1129842 is 2489211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1129841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18492 + ... + 18552.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

21129842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488000).

1129842 is an abundant number, since it is smaller than the sum of its proper divisors (1846158).

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

1129842 is an equidigital number, since it uses as much as digits as its factorization.

1129842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1129842 is about 1062.9402617269. The cubic root of 1129842 is about 104.1531889407.

The spelling of 1129842 in words is "one million, one hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 343 366 378 427 441 549 686 854 882 1029 1098 1281 1323 1647 2058 2562 2646 2989 3087 3294 3843 5978 6174 7686 8967 9261 11529 17934 18522 20923 23058 26901 41846 53802 62769 80703 125538 161406 188307 376614 564921 1129842