Search a number
-
+
5400432 = 2436463
BaseRepresentation
bin10100100110011101110000
3101011101000000
4110212131300
52340303212
6311430000
763621462
oct24463560
911141000
105400432
113059474
121985300
13117112b
14a08132
1571a1dc
hex526770

5400432 has 70 divisors (see below), whose sum is σ = 15721712. Its totient is φ = 1796256.

The previous prime is 5400419. The next prime is 5400443. The reversal of 5400432 is 2340045.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 11433 + ... + 11895.

Almost surely, 25400432 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 5400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860856).

5400432 is an abundant number, since it is smaller than the sum of its proper divisors (10321280).

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

5400432 is an equidigital number, since it uses as much as digits as its factorization.

5400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

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

The square root of 5400432 is about 2323.8829574658. The cubic root of 5400432 is about 175.4457425964.

Adding to 5400432 its reverse (2340045), we get a palindrome (7740477).

It can be divided in two parts, 540043 and 2, that added together give a palindrome (540045).

The spelling of 5400432 in words is "five million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 463 486 648 729 926 972 1296 1389 1458 1852 1944 2778 2916 3704 3888 4167 5556 5832 7408 8334 11112 11664 12501 16668 22224 25002 33336 37503 50004 66672 75006 100008 112509 150012 200016 225018 300024 337527 450036 600048 675054 900072 1350108 1800144 2700216 5400432