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128833056 = 25321123697
BaseRepresentation
bin1111010110111…
…01011000100000
322222102101201200
413223131120200
5230440124211
620441201200
73123030402
oct753353040
9288371650
10128833056
11667a5200
1237190200
13208ca5a1
1413178b72
15b49cb56
hex7add620

128833056 has 108 divisors (see below), whose sum is σ = 402812046. Its totient is φ = 39029760.

The previous prime is 128833043. The next prime is 128833069. The reversal of 128833056 is 650338821.

It is an interprime number because it is at equal distance from previous prime (128833043) and next prime (128833069).

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 2944656 = 11220^2 + 1716^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 128833056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33000 + ... + 36696.

Almost surely, 2128833056 is an apocalyptic number.

128833056 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 128833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201406023).

128833056 is an abundant number, since it is smaller than the sum of its proper divisors (273978990).

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

128833056 is a wasteful number, since it uses less digits than its factorization.

128833056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128833056 is about 11350.4650125006. The cubic root of 128833056 is about 505.0593741254.

The spelling of 128833056 in words is "one hundred twenty-eight million, eight hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3697 3872 4356 5808 7394 8712 11091 11616 14788 17424 22182 29576 33273 34848 40667 44364 59152 66546 81334 88728 118304 122001 133092 162668 177456 244002 266184 325336 354912 366003 447337 488004 532368 650672 732006 894674 976008 1064736 1301344 1342011 1464012 1789348 1952016 2684022 2928024 3578696 3904032 4026033 5368044 5856048 7157392 8052066 10736088 11712096 14314784 16104132 21472176 32208264 42944352 64416528 128833056