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128880420 = 223519131863
BaseRepresentation
bin1111010111010…
…00111100100100
322222111210200220
413223220330210
5230443133140
620442204340
73123315444
oct753507444
9288453626
10128880420
1166827849
12371b36b0
1320916006
141318c124
15b4abbd0
hex7ae8f24

128880420 has 96 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 32273280.

The previous prime is 128880419. The next prime is 128880443. The reversal of 128880420 is 24088821.

It is a super-2 number, since 2×1288804202 = 33220325318752800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148909 + ... + 149771.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2128880420 is an apocalyptic number.

128880420 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 128880420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

128880420 is an abundant number, since it is smaller than the sum of its proper divisors (254320860).

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

128880420 is a wasteful number, since it uses less digits than its factorization.

128880420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 128880420 is about 11352.5512551144. The cubic root of 128880420 is about 505.1212596436.

The spelling of 128880420 in words is "one hundred twenty-eight million, eight hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 380 393 524 570 655 786 863 1140 1310 1572 1726 1965 2489 2589 2620 3452 3930 4315 4978 5178 7467 7860 8630 9956 10356 12445 12945 14934 16397 17260 24890 25890 29868 32794 37335 49191 49780 51780 65588 74670 81985 98382 113053 149340 163970 196764 226106 245955 327940 339159 452212 491910 565265 678318 983820 1130530 1356636 1695795 2148007 2261060 3391590 4296014 6444021 6783180 8592028 10740035 12888042 21480070 25776084 32220105 42960140 64440210 128880420