Search a number
-
+
1794144 = 253111699
BaseRepresentation
bin110110110000001100000
310101011002210
412312001200
5424403034
6102242120
721151512
oct6660140
93334083
101794144
111015a70
12726340
134aa831
14349bb2
152568e9
hex1b6060

1794144 has 48 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 543360.

The previous prime is 1794137. The next prime is 1794179. The reversal of 1794144 is 4414971.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

21794144 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 1794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

1794144 is an abundant number, since it is smaller than the sum of its proper divisors (3346656).

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

1794144 is a wasteful number, since it uses less digits than its factorization.

1794144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 1794144 is about 1339.4566062400. The cubic root of 1794144 is about 121.5119803933.

The spelling of 1794144 in words is "one million, seven hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1699 3398 5097 6796 10194 13592 18689 20388 27184 37378 40776 54368 56067 74756 81552 112134 149512 163104 224268 299024 448536 598048 897072 1794144