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128655456 = 25317312543
BaseRepresentation
bin1111010101100…
…10000001100000
322222002101002220
413222302001200
5230413433311
620433311040
73121360536
oct752620140
9288071086
10128655456
1166693826
1237105480
13208677b7
1413130156
15b465206
hex7ab2060

128655456 has 96 divisors (see below), whose sum is σ = 369266688. Its totient is φ = 39045120.

The previous prime is 128655451. The next prime is 128655509. The reversal of 128655456 is 654556821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128655451) 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, 49321 + ... + 51863.

It is an arithmetic number, because the mean of its divisors is an integer number (3846528).

Almost surely, 2128655456 is an apocalyptic number.

128655456 is a gapful number since it is divisible by the number (16) 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 128655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184633344).

128655456 is an abundant number, since it is smaller than the sum of its proper divisors (240611232).

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

128655456 is a wasteful number, since it uses less digits than its factorization.

128655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 128655456 is about 11342.6388464061. The cubic root of 128655456 is about 504.8271878720.

The spelling of 128655456 in words is "one hundred twenty-eight million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2543 2976 3162 4216 5086 6324 7629 8432 10172 12648 15258 16864 20344 25296 30516 40688 43231 50592 61032 78833 81376 86462 122064 129693 157666 172924 236499 244128 259386 315332 345848 472998 518772 630664 691696 945996 1037544 1261328 1340161 1383392 1891992 2075088 2522656 2680322 3783984 4020483 4150176 5360644 7567968 8040966 10721288 16081932 21442576 32163864 42885152 64327728 128655456