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5203200 = 28352271
BaseRepresentation
bin10011110110010100000000
3100210100110010
4103312110000
52313000300
6303304520
762140452
oct23662400
910710403
105203200
112a34272
1218ab140
131102422
149962d2
156cba50
hex4f6500

5203200 has 108 divisors (see below), whose sum is σ = 17235008. Its totient is φ = 1382400.

The previous prime is 5203183. The next prime is 5203201. The reversal of 5203200 is 23025.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19065 + ... + 19335.

Almost surely, 25203200 is an apocalyptic number.

5203200 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 5203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617504).

5203200 is an abundant number, since it is smaller than the sum of its proper divisors (12031808).

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

5203200 is a wasteful number, since it uses less digits than its factorization.

5203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5203200 is about 2281.0523887013. The cubic root of 5203200 is about 173.2833517954.

Adding to 5203200 its reverse (23025), we get a palindrome (5226225).

The spelling of 5203200 in words is "five million, two hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 271 300 320 384 400 480 542 600 640 768 800 813 960 1084 1200 1280 1355 1600 1626 1920 2168 2400 2710 3200 3252 3840 4065 4336 4800 5420 6400 6504 6775 8130 8672 9600 10840 13008 13550 16260 17344 19200 20325 21680 26016 27100 32520 34688 40650 43360 52032 54200 65040 69376 81300 86720 104064 108400 130080 162600 173440 208128 216800 260160 325200 346880 433600 520320 650400 867200 1040640 1300800 1734400 2601600 5203200