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6050400 = 253522521
BaseRepresentation
bin10111000101001001100000
3102101101120220
4113011021200
53022103100
6333403040
7102266436
oct27051140
912341526
106050400
113462834
122039480
13133ac25
14b36d56
157e7aa0
hex5c5260

6050400 has 72 divisors (see below), whose sum is σ = 19701864. Its totient is φ = 1612800.

The previous prime is 6050393. The next prime is 6050413. The reversal of 6050400 is 40506.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6050400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 3660.

It is an arithmetic number, because the mean of its divisors is an integer number (273637).

Almost surely, 26050400 is an apocalyptic number.

6050400 is a gapful number since it is divisible by the number (60) 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 6050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850932).

6050400 is an abundant number, since it is smaller than the sum of its proper divisors (13651464).

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

6050400 is a wasteful number, since it uses less digits than its factorization.

6050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6050400 is about 2459.7560854686. The cubic root of 6050400 is about 182.2194350379.

Adding to 6050400 its reverse (40506), we get a palindrome (6090906).

The spelling of 6050400 in words is "six million, fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 2521 5042 7563 10084 12605 15126 20168 25210 30252 37815 40336 50420 60504 63025 75630 80672 100840 121008 126050 151260 189075 201680 242016 252100 302520 378150 403360 504200 605040 756300 1008400 1210080 1512600 2016800 3025200 6050400