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128102208 = 26313173019
BaseRepresentation
bin1111010001010…
…10111101000000
322221001021012020
413220222331000
5230243232313
620413401440
73113564553
oct750527500
9287037166
10128102208
11663460a3
1236a99280
1320702a30
141302869a
15b3a6323
hex7a2af40

128102208 has 112 divisors (see below), whose sum is σ = 386608320. Its totient is φ = 37085184.

The previous prime is 128102201. The next prime is 128102243. The reversal of 128102208 is 802201821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128102201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40923 + ... + 43941.

It is an arithmetic number, because the mean of its divisors is an integer number (3451860).

Almost surely, 2128102208 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 128102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193304160).

128102208 is an abundant number, since it is smaller than the sum of its proper divisors (258506112).

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

128102208 is a wasteful number, since it uses less digits than its factorization.

128102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 128102208 is about 11318.2245957571. The cubic root of 128102208 is about 504.1025238647.

The spelling of 128102208 in words is "one hundred twenty-eight million, one hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3019 3264 3536 5304 6038 7072 9057 10608 12076 14144 18114 21216 24152 36228 39247 42432 48304 51323 72456 78494 96608 102646 117741 144912 153969 156988 193216 205292 235482 289824 307938 313976 410584 470964 579648 615876 627952 667199 821168 941928 1231752 1255904 1334398 1642336 1883856 2001597 2463504 2511808 2668796 3284672 3767712 4003194 4927008 5337592 7535424 8006388 9854016 10675184 16012776 21350368 32025552 42700736 64051104 128102208