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128251264 = 271723467
BaseRepresentation
bin1111010010011…
…11010110000000
322221022211122211
413221033112000
5230313020024
620420511504
73115055251
oct751172600
9287284584
10128251264
1166438089
1236b4b594
132075582b
1413066b28
15b3d5594
hex7a4f580

128251264 has 48 divisors (see below), whose sum is σ = 271492380. Its totient is φ = 60336128.

The previous prime is 128251231. The next prime is 128251313. The reversal of 128251264 is 462152821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35259 + ... + 38725.

Almost surely, 2128251264 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 128251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135746190).

128251264 is an abundant number, since it is smaller than the sum of its proper divisors (143241116).

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

128251264 is an equidigital number, since it uses as much as digits as its factorization.

128251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3486 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 128251264 is about 11324.8074597319. The cubic root of 128251264 is about 504.2979677539.

The spelling of 128251264 in words is "one hundred twenty-eight million, two hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 3467 4624 6934 9248 13868 18496 27736 36992 55472 58939 110944 117878 221888 235756 443776 471512 943024 1001963 1886048 2003926 3772096 4007852 7544192 8015704 16031408 32062816 64125632 128251264