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128288 = 2519211
BaseRepresentation
bin11111010100100000
320111222102
4133110200
513101123
62425532
71043006
oct372440
9214872
10128288
1188426
12622a8
1346514
1434a76
1528028
hex1f520

128288 has 24 divisors (see below), whose sum is σ = 267120. Its totient is φ = 60480.

The previous prime is 128287. The next prime is 128291. The reversal of 128288 is 882821.

It is a nude number because it is divisible by every one of its digits.

128288 is a modest number, since divided by 288 gives 128 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 128288.

It is not an unprimeable number, because it can be changed into a prime (128287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2128288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133560).

128288 is an abundant number, since it is smaller than the sum of its proper divisors (138832).

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

128288 is a wasteful number, since it uses less digits than its factorization.

128288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 128288 is about 358.1731424884. The cubic root of 128288 is about 50.4346113145.

It can be divided in two parts, 128 and 288, that multiplied together give a square (36864 = 1922).

The spelling of 128288 in words is "one hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 211 304 422 608 844 1688 3376 4009 6752 8018 16036 32072 64144 128288