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128995840 = 295411229
BaseRepresentation
bin1111011000001…
…01001000000000
322222201200000201
413230011020000
5231010331330
620444454544
73124306111
oct754051000
9288650021
10128995840
11668a6536
123724a454
13209566cc
14131bc208
15b4d0eca
hex7b05200

128995840 has 80 divisors (see below), whose sum is σ = 317089080. Its totient is φ = 50298880.

The previous prime is 128995787. The next prime is 128995843. The reversal of 128995840 is 48599821.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 20502784 = 10416^2 + 4528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128995843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104346 + ... + 105574.

Almost surely, 2128995840 is an apocalyptic number.

128995840 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 128995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158544540).

128995840 is an abundant number, since it is smaller than the sum of its proper divisors (188093240).

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

128995840 is an equidigital number, since it uses as much as digits as its factorization.

128995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 128995840 is about 11357.6335563356. The cubic root of 128995840 is about 505.2720032565.

The spelling of 128995840 in words is "one hundred twenty-eight million, nine hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1229 1280 1312 1640 2458 2560 2624 3280 4916 5248 6145 6560 9832 10496 12290 13120 19664 20992 24580 26240 39328 49160 50389 52480 78656 98320 100778 104960 157312 196640 201556 251945 314624 393280 403112 503890 629248 786560 806224 1007780 1573120 1612448 2015560 3146240 3224896 4031120 6449792 8062240 12899584 16124480 25799168 32248960 64497920 128995840