Search a number
-
+
128487168 = 283329641
BaseRepresentation
bin1111010100010…
…00111100000000
322221202211021000
413222020330000
5230343042133
620425532000
73120060105
oct752107400
9287684230
10128487168
1166589347
1237044000
1320809014
14130c8aac
15b430413
hex7a88f00

128487168 has 144 divisors (see below), whose sum is σ = 393674400. Its totient is φ = 41287680.

The previous prime is 128487137. The next prime is 128487169. The reversal of 128487168 is 861784821.

128487168 is a `hidden beast` number, since 1 + 2 + 8 + 487 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128487169) 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 15 ways as a sum of consecutive naturals, for example, 200128 + ... + 200768.

It is an arithmetic number, because the mean of its divisors is an integer number (2733850).

Almost surely, 2128487168 is an apocalyptic number.

128487168 is a gapful number since it is divisible by the number (18) 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 128487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196837200).

128487168 is an abundant number, since it is smaller than the sum of its proper divisors (265187232).

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

128487168 is an equidigital number, since it uses as much as digits as its factorization.

128487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 675 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 128487168 is about 11335.2180393674. The cubic root of 128487168 is about 504.6069784594.

The spelling of 128487168 in words is "one hundred twenty-eight million, four hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 641 696 768 783 864 928 1044 1152 1282 1392 1566 1728 1856 1923 2088 2304 2564 2784 3132 3456 3712 3846 4176 5128 5568 5769 6264 6912 7424 7692 8352 10256 11136 11538 12528 15384 16704 17307 18589 20512 22272 23076 25056 30768 33408 34614 37178 41024 46152 50112 55767 61536 66816 69228 74356 82048 92304 100224 111534 123072 138456 148712 164096 167301 184608 200448 223068 246144 276912 297424 334602 369216 446136 492288 501903 553824 594848 669204 738432 892272 1003806 1107648 1189696 1338408 1476864 1784544 2007612 2215296 2379392 2676816 3569088 4015224 4430592 4758784 5353632 7138176 8030448 10707264 14276352 16060896 21414528 32121792 42829056 64243584 128487168