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128648736 = 253449633
BaseRepresentation
bin1111010101100…
…00011000100000
322222002000220000
413222300120200
5230413224421
620433220000
73121332126
oct752603040
9288060800
10128648736
1166689777
1237101600
1320864718
141312b916
15b463226
hex7ab0620

128648736 has 60 divisors (see below), whose sum is σ = 378359982. Its totient is φ = 42882048.

The previous prime is 128648719. The next prime is 128648747. The reversal of 128648736 is 637846821.

It can be written as a sum of positive squares in only one way, i.e., 120560400 + 8088336 = 10980^2 + 2844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128648691 and 128648700.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 22225 + ... + 27408.

Almost surely, 2128648736 is an apocalyptic number.

128648736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128648736 is an abundant number, since it is smaller than the sum of its proper divisors (249711246).

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

128648736 is an equidigital number, since it uses as much as digits as its factorization.

128648736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49655 (or 49638 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 128648736 is about 11342.3426151743. The cubic root of 128648736 is about 504.8183982518.

The spelling of 128648736 in words is "one hundred twenty-eight million, six hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 49633 99266 148899 198532 297798 397064 446697 595596 794128 893394 1191192 1340091 1588256 1786788 2382384 2680182 3573576 4020273 4764768 5360364 7147152 8040546 10720728 14294304 16081092 21441456 32162184 42882912 64324368 128648736