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1328300 = 225237359
BaseRepresentation
bin101000100010010101100
32111111002022
411010102230
5320001200
644245312
714201411
oct5042254
92444068
101328300
11827a76
12540838
1337679c
14268108
151b3885
hex1444ac

1328300 has 36 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 515520.

The previous prime is 1328297. The next prime is 1328311. The reversal of 1328300 is 38231.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3521 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

21328300 is an apocalyptic number.

1328300 is a gapful number since it is divisible by the number (10) 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 1328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

1328300 is an abundant number, since it is smaller than the sum of its proper divisors (1640260).

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

1328300 is a wasteful number, since it uses less digits than its factorization.

1328300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1328300 is about 1152.5189803209. The cubic root of 1328300 is about 109.9255694833.

The spelling of 1328300 in words is "one million, three hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 359 370 718 740 925 1436 1795 1850 3590 3700 7180 8975 13283 17950 26566 35900 53132 66415 132830 265660 332075 664150 1328300