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230560128 = 273366713
BaseRepresentation
bin11011011111000…
…01000110000000
3121001211200001000
431233201012000
5433010411003
634513412000
75466504651
oct1557410600
9531750030
10230560128
11109166267
126526a000
13389c7216
1422899528
15153941a3
hexdbe1180

230560128 has 64 divisors (see below), whose sum is σ = 680482800. Its totient is φ = 76852224.

The previous prime is 230560091. The next prime is 230560129. The reversal of 230560128 is 821065032.

230560128 is a `hidden beast` number, since 2 + 30 + 5 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230560129) 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, 29901 + ... + 36812.

Almost surely, 2230560128 is an apocalyptic number.

It is an amenable number.

230560128 is an abundant number, since it is smaller than the sum of its proper divisors (449922672).

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

230560128 is an equidigital number, since it uses as much as digits as its factorization.

230560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66736 (or 66718 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 230560128 is about 15184.2065317882. The cubic root of 230560128 is about 613.1895357071.

The spelling of 230560128 in words is "two hundred thirty million, five hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 66713 133426 200139 266852 400278 533704 600417 800556 1067408 1200834 1601112 1801251 2134816 2401668 3202224 3602502 4269632 4803336 6404448 7205004 8539264 9606672 12808896 14410008 19213344 25617792 28820016 38426688 57640032 76853376 115280064 230560128