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128056576 = 282947367
BaseRepresentation
bin1111010000111…
…11110100000000
322220221221121011
413220133310000
5230240302301
620412410304
73113314534
oct750376400
9286857534
10128056576
116631488a
1236a76994
13206b802b
1413015bc4
15b397a51
hex7a1fd00

128056576 has 72 divisors (see below), whose sum is σ = 270789120. Its totient is φ = 60340224.

The previous prime is 128056573. The next prime is 128056603. The reversal of 128056576 is 675650821.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128056573) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348745 + ... + 349111.

It is an arithmetic number, because the mean of its divisors is an integer number (3760960).

Almost surely, 2128056576 is an apocalyptic number.

128056576 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 128056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135394560).

128056576 is an abundant number, since it is smaller than the sum of its proper divisors (142732544).

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

128056576 is an equidigital number, since it uses as much as digits as its factorization.

128056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 128056576 is about 11316.2085523377. The cubic root of 128056576 is about 504.0426603681.

The spelling of 128056576 in words is "one hundred twenty-eight million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 367 376 464 734 752 928 1363 1468 1504 1856 2726 2936 3008 3712 5452 5872 6016 7424 10643 10904 11744 12032 17249 21286 21808 23488 34498 42572 43616 46976 68996 85144 87232 93952 137992 170288 174464 275984 340576 348928 500221 551968 681152 1000442 1103936 1362304 2000884 2207872 2724608 4001768 4415744 8003536 16007072 32014144 64028288 128056576