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5334400 = 27521667
BaseRepresentation
bin10100010110010110000000
3101001000102101
4110112112000
52331200100
6310200144
763225121
oct24262600
911030371
105334400
1130138a5
121953054
13114a066
149cc048
1570586a
hex516580

5334400 has 48 divisors (see below), whose sum is σ = 13185540. Its totient is φ = 2132480.

The previous prime is 5334361. The next prime is 5334409. The reversal of 5334400 is 44335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2367 + ... + 4033.

Almost surely, 25334400 is an apocalyptic number.

5334400 is a gapful number since it is divisible by the number (50) 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 5334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592770).

5334400 is an abundant number, since it is smaller than the sum of its proper divisors (7851140).

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

5334400 is a wasteful number, since it uses less digits than its factorization.

5334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 5334400 is about 2309.6320053203. The cubic root of 5334400 is about 174.7277399104.

Adding to 5334400 its reverse (44335), we get a palindrome (5378735).

It can be divided in two parts, 53 and 34400, that added together give a triangular number (34453 = T262).

The spelling of 5334400 in words is "five million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 1667 3200 3334 6668 8335 13336 16670 26672 33340 41675 53344 66680 83350 106688 133360 166700 213376 266720 333400 533440 666800 1066880 1333600 2667200 5334400