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128706144 = 2537227361
BaseRepresentation
bin1111010101111…
…10011001100000
322222011221122020
413222332121200
5230422044034
620434341440
73121661400
oct752763140
9288157566
10128706144
1166718916
123712a880
13208848a8
1413144800
15b475249
hex7abe660

128706144 has 72 divisors (see below), whose sum is σ = 393027768. Its totient is φ = 36771840.

The previous prime is 128706143. The next prime is 128706161. The reversal of 128706144 is 441607821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128706143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8977 + ... + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (5458719).

Almost surely, 2128706144 is an apocalyptic number.

128706144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128706144 is an abundant number, since it is smaller than the sum of its proper divisors (264321624).

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

128706144 is a wasteful number, since it uses less digits than its factorization.

128706144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388 (or 27373 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 128706144 is about 11344.8730270550. The cubic root of 128706144 is about 504.8934768620.

The spelling of 128706144 in words is "one hundred twenty-eight million, seven hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 27361 54722 82083 109444 164166 191527 218888 328332 383054 437776 574581 656664 766108 875552 1149162 1313328 1340689 1532216 2298324 2626656 2681378 3064432 4022067 4596648 5362756 6128864 8044134 9193296 10725512 16088268 18386592 21451024 32176536 42902048 64353072 128706144