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128813800 = 23522341683
BaseRepresentation
bin1111010110110…
…00101011101000
322222101102022111
413223120223220
5230434020200
620440532104
73122620303
oct753305350
9288342274
10128813800
1166791795
1237181034
13208c18ab
1413171b3a
15b4970ba
hex7ad8ae8

128813800 has 96 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 48012800.

The previous prime is 128813779. The next prime is 128813801. The reversal of 128813800 is 8318821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128813801) 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, 188259 + ... + 188941.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 2128813800 is an apocalyptic number.

128813800 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 128813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

128813800 is an abundant number, since it is smaller than the sum of its proper divisors (191790680).

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

128813800 is a wasteful number, since it uses less digits than its factorization.

128813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 128813800 is about 11349.6167336170. The cubic root of 128813800 is about 505.0342100146.

The spelling of 128813800 in words is "one hundred twenty-eight million, eight hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 41 46 50 82 92 100 115 164 184 200 205 230 328 410 460 575 683 820 920 943 1025 1150 1366 1640 1886 2050 2300 2732 3415 3772 4100 4600 4715 5464 6830 7544 8200 9430 13660 15709 17075 18860 23575 27320 28003 31418 34150 37720 47150 56006 62836 68300 78545 94300 112012 125672 136600 140015 157090 188600 224024 280030 314180 392725 560060 628360 644069 700075 785450 1120120 1288138 1400150 1570900 2576276 2800300 3141800 3220345 5152552 5600600 6440690 12881380 16101725 25762760 32203450 64406900 128813800