Search a number
-
+
1944000 = 263553
BaseRepresentation
bin111011010100111000000
310122202200000
413122213000
5444202000
6105400000
722344432
oct7324700
93582600
101944000
111108613
12799000
13530ac6
14388652
15286000
hex1da9c0

1944000 has 168 divisors, whose sum is σ = 7211568. Its totient is φ = 518400.

The previous prime is 1943993. The next prime is 1944011. The reversal of 1944000 is 4491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388798 + ... + 388802.

It is an arithmetic number, because the mean of its divisors is an integer number (42926).

21944000 is an apocalyptic number.

1944000 is a gapful number since it is divisible by the number (10) 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 1944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605784).

1944000 is an abundant number, since it is smaller than the sum of its proper divisors (5267568).

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

1944000 is an frugal number, since it uses more digits than its factorization.

1944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1944000 is about 1394.2740046347. The cubic root of 1944000 is about 124.8050293831.

Adding to 1944000 its reverse (4491), we get a palindrome (1948491).

The spelling of 1944000 in words is "one million, nine hundred forty-four thousand".