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5731200 = 273252199
BaseRepresentation
bin10101110111001110000000
3101210011201200
4111313032000
52431344300
6322501200
766500016
oct25671600
911704650
105731200
113264a32
121b04800
131258857
14a928b6
15783200
hex577380

5731200 has 144 divisors (see below), whose sum is σ = 20553000. Its totient is φ = 1520640.

The previous prime is 5731177. The next prime is 5731207. The reversal of 5731200 is 21375.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5731207) 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 17 ways as a sum of consecutive naturals, for example, 28701 + ... + 28899.

Almost surely, 25731200 is an apocalyptic number.

5731200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5731200 is the 1280-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276500).

5731200 is an abundant number, since it is smaller than the sum of its proper divisors (14821800).

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

5731200 is a wasteful number, since it uses less digits than its factorization.

5731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5731200 is about 2393.9924811912. The cubic root of 5731200 is about 178.9569302242.

Adding to 5731200 its reverse (21375), we get a palindrome (5752575).

The spelling of 5731200 in words is "five million, seven hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 199 200 225 240 288 300 320 360 384 398 400 450 480 576 597 600 640 720 796 800 900 960 995 1152 1194 1200 1440 1592 1600 1791 1800 1920 1990 2388 2400 2880 2985 3184 3200 3582 3600 3980 4776 4800 4975 5760 5970 6368 7164 7200 7960 8955 9552 9600 9950 11940 12736 14328 14400 14925 15920 17910 19104 19900 23880 25472 28656 28800 29850 31840 35820 38208 39800 44775 47760 57312 59700 63680 71640 76416 79600 89550 95520 114624 119400 127360 143280 159200 179100 191040 229248 238800 286560 318400 358200 382080 477600 573120 636800 716400 955200 1146240 1432800 1910400 2865600 5731200