Search a number
-
+
5403312 = 2432157239
BaseRepresentation
bin10100100111001010110000
3101011111221200
4110213022300
52340401222
6311451200
763633045
oct24471260
911144850
105403312
113060652
121986b00
131172535
14a091cc
1571aeac
hex5272b0

5403312 has 60 divisors (see below), whose sum is σ = 15281760. Its totient is φ = 1782144.

The previous prime is 5403301. The next prime is 5403317. The reversal of 5403312 is 2133045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5403317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22489 + ... + 22727.

It is an arithmetic number, because the mean of its divisors is an integer number (254696).

Almost surely, 25403312 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 5403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640880).

5403312 is an abundant number, since it is smaller than the sum of its proper divisors (9878448).

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

5403312 is a wasteful number, since it uses less digits than its factorization.

5403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5403312 is about 2324.5025274239. The cubic root of 5403312 is about 175.4769249132.

Adding to 5403312 its reverse (2133045), we get a palindrome (7536357).

It can be divided in two parts, 54033 and 12, that added together give a palindrome (54045).

The spelling of 5403312 in words is "five million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 239 314 471 478 628 717 942 956 1256 1413 1434 1884 1912 2151 2512 2826 2868 3768 3824 4302 5652 5736 7536 8604 11304 11472 17208 22608 34416 37523 75046 112569 150092 225138 300184 337707 450276 600368 675414 900552 1350828 1801104 2701656 5403312