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128227120 = 245734673
BaseRepresentation
bin1111010010010…
…01011100110000
322221021121112121
413221021130300
5230311231440
620420204024
73114625000
oct751113460
9287247477
10128227120
1166420a2a
1236b39614
1320747848
141305c000
15b3cd34a
hex7a49730

128227120 has 80 divisors (see below), whose sum is σ = 347745600. Its totient is φ = 43954176.

The previous prime is 128227091. The next prime is 128227147. The reversal of 128227120 is 21722821.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 25104 + ... + 29776.

It is an arithmetic number, because the mean of its divisors is an integer number (4346820).

Almost surely, 2128227120 is an apocalyptic number.

128227120 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 128227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173872800).

128227120 is an abundant number, since it is smaller than the sum of its proper divisors (219518480).

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

128227120 is an equidigital number, since it uses as much as digits as its factorization.

128227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 128227120 is about 11323.7414311702. The cubic root of 128227120 is about 504.2663201535.

Adding to 128227120 its reverse (21722821), we get a palindrome (149949941).

The spelling of 128227120 in words is "one hundred twenty-eight million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 4673 5488 6860 9346 13720 18692 23365 27440 32711 37384 46730 65422 74768 93460 130844 163555 186920 228977 261688 327110 373840 457954 523376 654220 915908 1144885 1308440 1602839 1831816 2289770 2616880 3205678 3663632 4579540 6411356 8014195 9159080 12822712 16028390 18318160 25645424 32056780 64113560 128227120