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128440 = 23513219
BaseRepresentation
bin11111010110111000
320112012001
4133112320
513102230
62430344
71043314
oct372670
9215161
10128440
1188554
12623b4
1346600
1434b44
15280ca
hex1f5b8

128440 has 48 divisors (see below), whose sum is σ = 329400. Its totient is φ = 44928.

The previous prime is 128437. The next prime is 128449. The reversal of 128440 is 44821.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6751 + ... + 6769.

2128440 is an apocalyptic number.

128440 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 128440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164700).

128440 is an abundant number, since it is smaller than the sum of its proper divisors (200960).

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

128440 is a wasteful number, since it uses less digits than its factorization.

128440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 128440 is about 358.3852675543. The cubic root of 128440 is about 50.4545223356.

It can be divided in two parts, 1284 and 40, that multiplied together give a triangular number (51360 = T320).

The spelling of 128440 in words is "one hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 380 494 520 676 760 845 988 1235 1352 1690 1976 2470 3211 3380 4940 6422 6760 9880 12844 16055 25688 32110 64220 128440