Search a number
-
+
1363072 = 2723463
BaseRepresentation
bin101001100110010000000
32120020210011
411030302000
5322104242
645114304
714404654
oct5146200
92506704
101363072
11851107
12558994
13389569
14276a64
151bdd17
hex14cc80

1363072 has 32 divisors (see below), whose sum is σ = 2839680. Its totient is φ = 650496.

The previous prime is 1363069. The next prime is 1363081. The reversal of 1363072 is 2703631.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2713 + ... + 3175.

It is an arithmetic number, because the mean of its divisors is an integer number (88740).

21363072 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 1363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419840).

1363072 is an abundant number, since it is smaller than the sum of its proper divisors (1476608).

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

1363072 is an equidigital number, since it uses as much as digits as its factorization.

1363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 1363072 is about 1167.5067451625. The cubic root of 1363072 is about 110.8765231390.

The spelling of 1363072 in words is "one million, three hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 463 736 926 1472 1852 2944 3704 7408 10649 14816 21298 29632 42596 59264 85192 170384 340768 681536 1363072