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128302020 = 223257119257
BaseRepresentation
bin1111010010110…
…11101111000100
322221102102021200
413221123233010
5230321131040
620421542500
73115356240
oct751335704
9287372250
10128302020
1166472230
1236b74a30
1320772972
141307b420
15b3e5630
hex7a5bbc4

128302020 has 144 divisors (see below), whose sum is σ = 485267328. Its totient is φ = 26657280.

The previous prime is 128302019. The next prime is 128302021. The reversal of 128302020 is 20203821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128302019) and next prime (128302021).

It is a super-2 number, since 2×1283020202 = 32922816672160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 128301984 and 128302002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128302021) 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, 9232 + ... + 18488.

It is an arithmetic number, because the mean of its divisors is an integer number (3369912).

Almost surely, 2128302020 is an apocalyptic number.

128302020 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 128302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242633664).

128302020 is an abundant number, since it is smaller than the sum of its proper divisors (356965308).

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

128302020 is a wasteful number, since it uses less digits than its factorization.

128302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9290 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128302020 is about 11327.0481591631. The cubic root of 128302020 is about 504.3644850238.

Adding to 128302020 its reverse (20203821), we get a palindrome (148505841).

The spelling of 128302020 in words is "one hundred twenty-eight million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 9257 13860 18514 27771 37028 46285 55542 64799 83313 92570 101827 111084 129598 138855 166626 185140 194397 203654 259196 277710 305481 323995 333252 388794 407308 416565 509135 555420 583191 610962 647990 712789 777588 833130 916443 971985 1018270 1166382 1221924 1295980 1425578 1527405 1666260 1832886 1943970 2036540 2138367 2332764 2851156 2915955 3054810 3563945 3665772 3887940 4276734 4582215 5831910 6109620 6415101 7127890 8553468 9164430 10691835 11663820 12830202 14255780 18328860 21383670 25660404 32075505 42767340 64151010 128302020