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5375600 = 245289151
BaseRepresentation
bin10100100000011001110000
3101010002221022
4110200121300
52334004400
6311115012
763456206
oct24403160
911102838
105375600
11304184a
121972a68
131162a39
149dd076
15712b85
hex520670

5375600 has 60 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 2112000.

The previous prime is 5375599. The next prime is 5375603. The reversal of 5375600 is 65735.

It is a self number, because there is not a number n which added to its sum of digits gives 5375600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375603) 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, 35525 + ... + 35675.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 25375600 is an apocalyptic number.

5375600 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 5375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

5375600 is an abundant number, since it is smaller than the sum of its proper divisors (7770880).

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

5375600 is a wasteful number, since it uses less digits than its factorization.

5375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 5375600 is about 2318.5340195908. The cubic root of 5375600 is about 175.1764207267.

The spelling of 5375600 in words is "five million, three hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 151 178 200 302 356 400 445 604 712 755 890 1208 1424 1510 1780 2225 2416 3020 3560 3775 4450 6040 7120 7550 8900 12080 13439 15100 17800 26878 30200 35600 53756 60400 67195 107512 134390 215024 268780 335975 537560 671950 1075120 1343900 2687800 5375600