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128483640 = 233251732063
BaseRepresentation
bin1111010100010…
…00000100111000
322221202122102100
413222020010320
5230342434030
620425503400
73120043605
oct752100470
9287678370
10128483640
116658672a
1237041b60
132080752c
14130c76ac
15b42e360
hex7a88138

128483640 has 96 divisors (see below), whose sum is σ = 420189120. Its totient is φ = 34047744.

The previous prime is 128483633. The next prime is 128483687. The reversal of 128483640 is 46384821.

128483640 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 8 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128483595 and 128483604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61249 + ... + 63311.

It is an arithmetic number, because the mean of its divisors is an integer number (4376970).

Almost surely, 2128483640 is an apocalyptic number.

128483640 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 128483640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210094560).

128483640 is an abundant number, since it is smaller than the sum of its proper divisors (291705480).

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

128483640 is a wasteful number, since it uses less digits than its factorization.

128483640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 128483640 is about 11335.0624171197. The cubic root of 128483640 is about 504.6023599185.

The spelling of 128483640 in words is "one hundred twenty-eight million, four hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2063 2076 2595 3114 3460 4126 4152 5190 6189 6228 6920 7785 8252 10315 10380 12378 12456 15570 16504 18567 20630 20760 24756 30945 31140 37134 41260 49512 61890 62280 74268 82520 92835 123780 148536 185670 247560 356899 371340 713798 742680 1070697 1427596 1784495 2141394 2855192 3212091 3568990 4282788 5353485 6424182 7137980 8565576 10706970 12848364 14275960 16060455 21413940 25696728 32120910 42827880 64241820 128483640