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128250 = 2335319
BaseRepresentation
bin11111010011111010
320111221000
4133103322
513101000
62425430
71042623
oct372372
9214830
10128250
11883a1
1262276
13464b5
1434a4a
1528000
hex1f4fa

128250 has 64 divisors (see below), whose sum is σ = 374400. Its totient is φ = 32400.

The previous prime is 128239. The next prime is 128257. The reversal of 128250 is 52821.

It can be divided in two parts, 128 and 250, that added together give a triangular number (378 = T27).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (128257) by changing a digit.

128250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6741 + ... + 6759.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2128250 is an apocalyptic number.

128250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

128250 is an abundant number, since it is smaller than the sum of its proper divisors (246150).

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

128250 is a wasteful number, since it uses less digits than its factorization.

128250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 128250 is about 358.1200915894. The cubic root of 128250 is about 50.4296311020.

The spelling of 128250 in words is "one hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 125 135 150 171 190 225 250 270 285 342 375 450 475 513 570 675 750 855 950 1026 1125 1350 1425 1710 2250 2375 2565 2850 3375 4275 4750 5130 6750 7125 8550 12825 14250 21375 25650 42750 64125 128250