Search a number
-
+
1359800 = 235213523
BaseRepresentation
bin101001011111110111000
32120002021222
411023332320
5322003200
645051212
714362301
oct5137670
92502258
101359800
11849702
12556b08
13387c20
142757a8
151bcd85
hex14bfb8

1359800 has 48 divisors (see below), whose sum is σ = 3411240. Its totient is φ = 501120.

The previous prime is 1359769. The next prime is 1359803. The reversal of 1359800 is 89531.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1359800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2339 + ... + 2861.

21359800 is an apocalyptic number.

1359800 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 1359800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705620).

1359800 is an abundant number, since it is smaller than the sum of its proper divisors (2051440).

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

1359800 is a wasteful number, since it uses less digits than its factorization.

1359800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1359800 is about 1166.1046265237. The cubic root of 1359800 is about 110.7877338313.

The spelling of 1359800 in words is "one million, three hundred fifty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 523 650 1046 1300 2092 2600 2615 4184 5230 6799 10460 13075 13598 20920 26150 27196 33995 52300 54392 67990 104600 135980 169975 271960 339950 679900 1359800