Search a number
-
+
1946144 = 2561997
BaseRepresentation
bin111011011001000100000
310122212121102
413123020200
5444234034
6105413532
722353614
oct7331040
93585542
101946144
11110a192
1279a2a8
13531a85
14389344
1528697e
hex1db220

1946144 has 24 divisors (see below), whose sum is σ = 3898188. Its totient is φ = 956160.

The previous prime is 1946141. The next prime is 1946171. The reversal of 1946144 is 4416491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 19600 = 1388^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (1946141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1454 + ... + 2450.

21946144 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 1946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949094).

1946144 is an abundant number, since it is smaller than the sum of its proper divisors (1952044).

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

1946144 is an equidigital number, since it uses as much as digits as its factorization.

1946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1946144 is about 1395.0426516777. The cubic root of 1946144 is about 124.8508942104.

The spelling of 1946144 in words is "one million, nine hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 997 1952 1994 3988 7976 15952 31904 60817 121634 243268 486536 973072 1946144