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128023800 = 23352316883
BaseRepresentation
bin1111010000101…
…11110011111000
322220220021122020
413220113303320
5230233230200
620411554440
73113120142
oct750276370
9286807566
10128023800
11662a21a3
1236a5ba20
13206a6138
1413007c92
15b38cea0
hex7a17cf8

128023800 has 96 divisors (see below), whose sum is σ = 409735680. Its totient is φ = 33033600.

The previous prime is 128023793. The next prime is 128023829. The reversal of 128023800 is 8320821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15159 + ... + 22041.

It is an arithmetic number, because the mean of its divisors is an integer number (4268080).

Almost surely, 2128023800 is an apocalyptic number.

128023800 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 128023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204867840).

128023800 is an abundant number, since it is smaller than the sum of its proper divisors (281711880).

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

128023800 is a wasteful number, since it uses less digits than its factorization.

128023800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 128023800 is about 11314.7602714331. The cubic root of 128023800 is about 503.9996535649. Note that the first 3 decimals are identical.

The spelling of 128023800 in words is "one hundred twenty-eight million, twenty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 6883 9300 13766 18600 20649 27532 34415 41298 55064 68830 82596 103245 137660 165192 172075 206490 213373 275320 344150 412980 426746 516225 640119 688300 825960 853492 1032450 1066865 1280238 1376600 1706984 2064900 2133730 2560476 3200595 4129800 4267460 5120952 5334325 6401190 8534920 10668650 12802380 16002975 21337300 25604760 32005950 42674600 64011900 128023800