Search a number
-
+
5403420 = 22325112729
BaseRepresentation
bin10100100111001100011100
3101011112002200
4110213030130
52340402140
6311451500
763633261
oct24471434
911145080
105403420
113060740
121986b90
1311725b9
14a09268
1571b030
hex52731c

5403420 has 72 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 1309440.

The previous prime is 5403401. The next prime is 5403427. The reversal of 5403420 is 243045.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5403393 and 5403402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616 + ... + 3344.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 25403420 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 5403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480).

5403420 is an abundant number, since it is smaller than the sum of its proper divisors (12483540).

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

5403420 is a wasteful number, since it uses less digits than its factorization.

5403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5403420 is about 2324.5257580849. The cubic root of 5403420 is about 175.4780940345.

Adding to 5403420 its reverse (243045), we get a palindrome (5646465).

The spelling of 5403420 in words is "five million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2729 5458 8187 10916 13645 16374 24561 27290 30019 32748 40935 49122 54580 60038 81870 90057 98244 120076 122805 150095 163740 180114 245610 270171 300190 360228 450285 491220 540342 600380 900570 1080684 1350855 1801140 2701710 5403420