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128266020 = 2232517167251
BaseRepresentation
bin1111010010100…
…10111100100100
322221100120220100
413221102330210
5230314003040
620421104100
73115146261
oct751227444
9287316810
10128266020
1166448183
1236b58030
132075c46c
141306c268
15b3d9b30
hex7a52f24

128266020 has 144 divisors (see below), whose sum is σ = 416078208. Its totient is φ = 31872000.

The previous prime is 128266001. The next prime is 128266027. The reversal of 128266020 is 20662821.

It is not an unprimeable number, because it can be changed into a prime (128266027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510895 + ... + 511145.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2128266020 is an apocalyptic number.

128266020 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 128266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

128266020 is an abundant number, since it is smaller than the sum of its proper divisors (287812188).

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

128266020 is a wasteful number, since it uses less digits than its factorization.

128266020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128266020 is about 11325.4589310986. The cubic root of 128266020 is about 504.3173077464.

The spelling of 128266020 in words is "one hundred twenty-eight million, two hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 167 170 180 204 251 255 306 334 340 501 502 510 612 668 753 765 835 1002 1004 1020 1255 1503 1506 1530 1670 2004 2259 2505 2510 2839 3006 3012 3060 3340 3765 4267 4518 5010 5020 5678 6012 7515 7530 8517 8534 9036 10020 11295 11356 12801 14195 15030 15060 17034 17068 21335 22590 25551 25602 28390 30060 34068 38403 41917 42585 42670 45180 51102 51204 56780 64005 76806 83834 85170 85340 102204 125751 127755 128010 153612 167668 170340 192015 209585 251502 255510 256020 377253 384030 419170 503004 511020 628755 712589 754506 768060 838340 1257510 1425178 1509012 1886265 2137767 2515020 2850356 3562945 3772530 4275534 6413301 7125890 7545060 8551068 10688835 12826602 14251780 21377670 25653204 32066505 42755340 64133010 128266020