Search a number
-
+
1359904 = 25713467
BaseRepresentation
bin101001100000000100000
32120002102211
411030000200
5322004104
645051504
714362510
oct5140040
92502384
101359904
11849797
12556b94
13387ca0
14275840
151bce04
hex14c020

1359904 has 48 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 536832.

The previous prime is 1359901. The next prime is 1359913. The reversal of 1359904 is 4099531.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1359901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 3145.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

21359904 is an apocalyptic number.

1359904 is a gapful number since it is divisible by the number (14) 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 1359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1359904 is an abundant number, since it is smaller than the sum of its proper divisors (1942304).

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

1359904 is a wasteful number, since it uses less digits than its factorization.

1359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1359904 is about 1166.1492185823. The cubic root of 1359904 is about 110.7905581757.

The spelling of 1359904 in words is "one million, three hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 467 728 934 1456 1868 2912 3269 3736 6071 6538 7472 12142 13076 14944 24284 26152 42497 48568 52304 84994 97136 104608 169988 194272 339976 679952 1359904