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128380700 = 22527241761
BaseRepresentation
bin1111010011011…
…10111100011100
322221120102012202
413221232330130
5230331140300
620423351032
73116134520
oct751567434
9287512182
10128380700
1166516358
1236bb2478
132079c716
141309bd80
15b40dad5
hex7a6ef1c

128380700 has 72 divisors (see below), whose sum is σ = 320125344. Its totient is φ = 43776000.

The previous prime is 128380673. The next prime is 128380711. The reversal of 128380700 is 7083821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168320 + ... + 169080.

Almost surely, 2128380700 is an apocalyptic number.

128380700 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 128380700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160062672).

128380700 is an abundant number, since it is smaller than the sum of its proper divisors (191744644).

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

128380700 is a wasteful number, since it uses less digits than its factorization.

128380700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 128380700 is about 11330.5207294281. The cubic root of 128380700 is about 504.4675628725.

The spelling of 128380700 in words is "one hundred twenty-eight million, three hundred eighty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 241 350 482 700 761 964 1205 1522 1687 2410 3044 3374 3805 4820 5327 6025 6748 7610 8435 10654 12050 15220 16870 19025 21308 24100 26635 33740 38050 42175 53270 76100 84350 106540 133175 168700 183401 266350 366802 532700 733604 917005 1283807 1834010 2567614 3668020 4585025 5135228 6419035 9170050 12838070 18340100 25676140 32095175 64190350 128380700