Search a number
-
+
1363272 = 233431321
BaseRepresentation
bin101001100110101001000
32120021001120
411030311020
5322111042
645115240
714405361
oct5146510
92507046
101363272
11851279
12558b20
13389691
14276b68
151bddec
hex14cd48

1363272 has 32 divisors (see below), whose sum is σ = 3490080. Its totient is φ = 443520.

The previous prime is 1363267. The next prime is 1363273. The reversal of 1363272 is 2723631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 39 + 63 + 311 + 219 + 76 + 219 .

It is not an unprimeable number, because it can be changed into a prime (1363273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (109065).

21363272 is an apocalyptic number.

1363272 is a gapful number since it is divisible by the number (12) 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 1363272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745040).

1363272 is an abundant number, since it is smaller than the sum of its proper divisors (2126808).

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

1363272 is a wasteful number, since it uses less digits than its factorization.

1363272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 1363272 is about 1167.5923946309. The cubic root of 1363272 is about 110.8819457481.

The spelling of 1363272 in words is "one million, three hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1321 2642 3963 5284 7926 10568 15852 31704 56803 113606 170409 227212 340818 454424 681636 1363272