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128273152 = 287471523
BaseRepresentation
bin1111010010101…
…00101100000000
322221100221200111
413221110230000
5230314220102
620421201104
73115206130
oct751245400
9287327614
10128273152
1166452577
1236b60194
1320762797
1413070ac0
15b3dbcd7
hex7a54b00

128273152 has 72 divisors (see below), whose sum is σ = 299045376. Its totient is φ = 53769216.

The previous prime is 128273137. The next prime is 128273153. The reversal of 128273152 is 251372821.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128273153) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83463 + ... + 84985.

It is an arithmetic number, because the mean of its divisors is an integer number (4153408).

Almost surely, 2128273152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149522688).

128273152 is an abundant number, since it is smaller than the sum of its proper divisors (170772224).

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

128273152 is an equidigital number, since it uses as much as digits as its factorization.

128273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1579 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 128273152 is about 11325.7737925495. The cubic root of 128273152 is about 504.3266547903.

The spelling of 128273152 in words is "one hundred twenty-eight million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 658 752 896 1316 1504 1523 1792 2632 3008 3046 5264 6016 6092 10528 10661 12032 12184 21056 21322 24368 42112 42644 48736 71581 84224 85288 97472 143162 170576 194944 286324 341152 389888 501067 572648 682304 1002134 1145296 1364608 2004268 2290592 2729216 4008536 4581184 8017072 9162368 16034144 18324736 32068288 64136576 128273152