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128500000 = 2556257
BaseRepresentation
bin1111010100011…
…00000100100000
322221210110212021
413222030010200
5230344000000
620430111224
73120142366
oct752140440
9287713767
10128500000
1166597a52
123704b514
1320811b05
14130cd636
15b43411a
hex7a8c120

128500000 has 84 divisors (see below), whose sum is σ = 317456874. Its totient is φ = 51200000.

The previous prime is 128499971. The next prime is 128500003. The reversal of 128500000 is 5821.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 28259856 + 100240144 = 5316^2 + 10012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128500003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499872 + ... + 500128.

Almost surely, 2128500000 is an apocalyptic number.

128500000 is a gapful number since it is divisible by the number (10) 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 128500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158728437).

128500000 is an abundant number, since it is smaller than the sum of its proper divisors (188956874).

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

128500000 is an frugal number, since it uses more digits than its factorization.

128500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 128500000 is about 11335.7840487546. The cubic root of 128500000 is about 504.6237762489.

Adding to 128500000 its reverse (5821), we get a palindrome (128505821).

It can be divided in two parts, 128 and 500000, that multiplied together give a 6-th power (64000000 = 206).

The spelling of 128500000 in words is "one hundred twenty-eight million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8224 10000 10280 12500 12850 15625 20000 20560 25000 25700 31250 32125 41120 50000 51400 62500 64250 100000 102800 125000 128500 160625 205600 250000 257000 321250 500000 514000 642500 803125 1028000 1285000 1606250 2570000 3212500 4015625 5140000 6425000 8031250 12850000 16062500 25700000 32125000 64250000 128500000