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128078280 = 233351110781
BaseRepresentation
bin1111010001001…
…01000111001000
322221000001101000
413220211013020
5230242001110
620413055000
73113435031
oct750450710
9287001330
10128078280
116632a120
1236a87460
13206c4b85
141301da88
15b39e1c0
hex7a251c8

128078280 has 128 divisors (see below), whose sum is σ = 465782400. Its totient is φ = 31046400.

The previous prime is 128078261. The next prime is 128078287. The reversal of 128078280 is 82870821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128078287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (3638925).

Almost surely, 2128078280 is an apocalyptic number.

128078280 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 128078280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232891200).

128078280 is an abundant number, since it is smaller than the sum of its proper divisors (337704120).

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

128078280 is a wasteful number, since it uses less digits than its factorization.

128078280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 128078280 is about 11317.1674901452. The cubic root of 128078280 is about 504.0711350842.

The spelling of 128078280 in words is "one hundred twenty-eight million, seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 10781 11880 21562 32343 43124 53905 64686 86248 97029 107810 118591 129372 161715 194058 215620 237182 258744 291087 323430 355773 388116 431240 474364 485145 582174 592955 646860 711546 776232 948728 970290 1067319 1164348 1185910 1293720 1423092 1455435 1778865 1940580 2134638 2328696 2371820 2846184 2910870 3201957 3557730 3881160 4269276 4743640 5336595 5821740 6403914 7115460 8538552 10673190 11643480 12807828 14230920 16009785 21346380 25615656 32019570 42692760 64039140 128078280