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5350200 = 2335237241
BaseRepresentation
bin10100011010001100111000
3101001211002120
4110122030320
52332201300
6310401240
763322152
oct24321470
911054076
105350200
113024759
121960220
1311542cb
149d3ad2
1570a3a0
hex51a338

5350200 has 96 divisors (see below), whose sum is σ = 17104560. Its totient is φ = 1382400.

The previous prime is 5350199. The next prime is 5350201. The reversal of 5350200 is 20535.

It is an interprime number because it is at equal distance from previous prime (5350199) and next prime (5350201).

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 5350200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22080 + ... + 22320.

Almost surely, 25350200 is an apocalyptic number.

5350200 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 5350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552280).

5350200 is an abundant number, since it is smaller than the sum of its proper divisors (11754360).

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

5350200 is a wasteful number, since it uses less digits than its factorization.

5350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5350200 is about 2313.0499346101. The cubic root of 5350200 is about 174.9000790127.

Adding to 5350200 its reverse (20535), we get a palindrome (5370735).

The spelling of 5350200 in words is "five million, three hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 241 296 300 370 444 482 555 600 723 740 888 925 964 1110 1205 1446 1480 1850 1928 2220 2410 2775 2892 3615 3700 4440 4820 5550 5784 6025 7230 7400 8917 9640 11100 12050 14460 17834 18075 22200 24100 26751 28920 35668 36150 44585 48200 53502 71336 72300 89170 107004 133755 144600 178340 214008 222925 267510 356680 445850 535020 668775 891700 1070040 1337550 1783400 2675100 5350200