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128505780 = 223251354917
BaseRepresentation
bin1111010100011…
…01011110110100
322221210202210100
413222031132310
5230344141110
620430154100
73120165264
oct752153664
9287722710
10128505780
11665a1327
1237052930
1320814630
14130d17a4
15b435bc0
hex7a8d7b4

128505780 has 72 divisors (see below), whose sum is σ = 419793192. Its totient is φ = 31631616.

The previous prime is 128505763. The next prime is 128505781. The reversal of 128505780 is 87505821.

128505780 is a `hidden beast` number, since 1 + 2 + 85 + 0 + 578 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 128187684 = 564^2 + 11322^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128505781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25119 + ... + 29798.

It is an arithmetic number, because the mean of its divisors is an integer number (5830461).

Almost surely, 2128505780 is an apocalyptic number.

128505780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128505780 is an abundant number, since it is smaller than the sum of its proper divisors (291287412).

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

128505780 is a wasteful number, since it uses less digits than its factorization.

128505780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54945 (or 54940 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 128505780 is about 11336.0389907586. The cubic root of 128505780 is about 504.6313422196.

The spelling of 128505780 in words is "one hundred twenty-eight million, five hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 54917 109834 164751 219668 274585 329502 494253 549170 659004 713921 823755 988506 1098340 1427842 1647510 1977012 2141763 2471265 2855684 3295020 3569605 4283526 4942530 6425289 7139210 8567052 9885060 10708815 12850578 14278420 21417630 25701156 32126445 42835260 64252890 128505780