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5403200 = 265211307
BaseRepresentation
bin10100100111001001000000
3101011111210112
4110213021000
52340400300
6311450452
763632525
oct24471100
911144715
105403200
113060560
121986a28
13117247a
14a0914c
1571ae35
hex527240

5403200 has 84 divisors (see below), whose sum is σ = 14551152. Its totient is φ = 1958400.

The previous prime is 5403169. The next prime is 5403247. The reversal of 5403200 is 23045.

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, 17447 + ... + 17753.

It is an arithmetic number, because the mean of its divisors is an integer number (173228).

Almost surely, 25403200 is an apocalyptic number.

5403200 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 5403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275576).

5403200 is an abundant number, since it is smaller than the sum of its proper divisors (9147952).

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

5403200 is a wasteful number, since it uses less digits than its factorization.

5403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5403200 is about 2324.4784361228. The cubic root of 5403200 is about 175.4757124746.

Adding to 5403200 its reverse (23045), we get a palindrome (5426245).

It can be divided in two parts, 540 and 3200, that multiplied together give a cube (1728000 = 1203).

The spelling of 5403200 in words is "five million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 307 320 352 400 440 550 614 704 800 880 1100 1228 1535 1600 1760 2200 2456 3070 3377 3520 4400 4912 6140 6754 7675 8800 9824 12280 13508 15350 16885 17600 19648 24560 27016 30700 33770 49120 54032 61400 67540 84425 98240 108064 122800 135080 168850 216128 245600 270160 337700 491200 540320 675400 1080640 1350800 2701600 5403200