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128877056 = 297211467
BaseRepresentation
bin1111010111010…
…00001000000000
322222111122002022
413223220020000
5230443031211
620442141012
73123302600
oct753501000
9288448068
10128877056
1166825270
12371b1768
1320914619
141318ac00
15b4aabdb
hex7ae8200

128877056 has 120 divisors (see below), whose sum is σ = 327474576. Its totient is φ = 50104320.

The previous prime is 128877053. The next prime is 128877107. The reversal of 128877056 is 650778821.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 128876998 and 128877016.

It is not an unprimeable number, because it can be changed into a prime (128877053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275735 + ... + 276201.

Almost surely, 2128877056 is an apocalyptic number.

128877056 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 128877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163737288).

128877056 is an abundant number, since it is smaller than the sum of its proper divisors (198597520).

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

128877056 is an equidigital number, since it uses as much as digits as its factorization.

128877056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 128877056 is about 11352.4030936185. The cubic root of 128877056 is about 505.1168647616.

The spelling of 128877056 in words is "one hundred twenty-eight million, eight hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 467 512 539 616 704 784 896 934 1078 1232 1408 1568 1792 1868 2156 2464 2816 3136 3269 3584 3736 4312 4928 5137 5632 6272 6538 7472 8624 9856 10274 12544 13076 14944 17248 19712 20548 22883 25088 26152 29888 34496 35959 39424 41096 45766 52304 59776 68992 71918 82192 91532 104608 119552 137984 143836 164384 183064 209216 239104 251713 275968 287672 328768 366128 418432 503426 575344 657536 732256 836864 1006852 1150688 1315072 1464512 1673728 2013704 2301376 2630144 2929024 4027408 4602752 5858048 8054816 9205504 11716096 16109632 18411008 32219264 64438528 128877056