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5231200 = 255213503
BaseRepresentation
bin10011111101001001100000
3100211202212011
4103331021200
52314344300
6304042304
762315212
oct23751140
910752764
105231200
112a53307
121903394
1311120b0
149a25b2
156d4eba
hex4fd260

5231200 has 72 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1927680.

The previous prime is 5231197. The next prime is 5231203. The reversal of 5231200 is 21325.

It is an interprime number because it is at equal distance from previous prime (5231197) and next prime (5231203).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5231203) 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 11 ways as a sum of consecutive naturals, for example, 10149 + ... + 10651.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 25231200 is an apocalyptic number.

5231200 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 5231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

5231200 is an abundant number, since it is smaller than the sum of its proper divisors (8549168).

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

5231200 is a wasteful number, since it uses less digits than its factorization.

5231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5231200 is about 2287.1816718398. The cubic root of 5231200 is about 173.5936260198.

Adding to 5231200 its reverse (21325), we get a palindrome (5252525).

The spelling of 5231200 in words is "five million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 503 520 650 800 1006 1040 1300 2012 2080 2515 2600 4024 5030 5200 6539 8048 10060 10400 12575 13078 16096 20120 25150 26156 32695 40240 50300 52312 65390 80480 100600 104624 130780 163475 201200 209248 261560 326950 402400 523120 653900 1046240 1307800 2615600 5231200