Search a number
-
+
128308608 = 2732127877
BaseRepresentation
bin1111010010111…
…01010110000000
322221102202022200
413221131112000
5230321333413
620422033200
73115414401
oct751352600
9287382280
10128308608
116647717a
1236b78800
132077596c
141307d9a8
15b3e7573
hex7a5d580

128308608 has 96 divisors (see below), whose sum is σ = 372552960. Its totient is φ = 42384384.

The previous prime is 128308589. The next prime is 128308613. The reversal of 128308608 is 806803821.

128308608 is a `hidden beast` number, since 12 + 8 + 30 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145866 + ... + 146742.

It is an arithmetic number, because the mean of its divisors is an integer number (3880760).

Almost surely, 2128308608 is an apocalyptic number.

128308608 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 128308608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186276480).

128308608 is an abundant number, since it is smaller than the sum of its proper divisors (244244352).

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

128308608 is a wasteful number, since it uses less digits than its factorization.

128308608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128308608 is about 11327.3389637637. The cubic root of 128308608 is about 504.3731175102.

The spelling of 128308608 in words is "one hundred twenty-eight million, three hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 877 1016 1143 1152 1524 1754 2032 2286 2631 3048 3508 4064 4572 5262 6096 7016 7893 8128 9144 10524 12192 14032 15786 16256 18288 21048 24384 28064 31572 36576 42096 48768 56128 63144 73152 84192 111379 112256 126288 146304 168384 222758 252576 334137 336768 445516 505152 668274 891032 1002411 1010304 1336548 1782064 2004822 2673096 3564128 4009644 5346192 7128256 8019288 10692384 14256512 16038576 21384768 32077152 42769536 64154304 128308608