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660112128 = 28321322039
BaseRepresentation
bin100111010110001…
…000001100000000
31201000010011121100
4213112020030000
52322442042003
6145300254400
722233601104
oct4726101400
91630104540
10660112128
11309686015
121650a1400
13a69b48c0
1463953904
153ce43ba3
hex27588300

660112128 has 108 divisors (see below), whose sum is σ = 2049764080. Its totient is φ = 203102208.

The previous prime is 660112127. The next prime is 660112157. The reversal of 660112128 is 821211066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660112127) 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, 18933 + ... + 40971.

Almost surely, 2660112128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024882040).

660112128 is an abundant number, since it is smaller than the sum of its proper divisors (1389651952).

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

660112128 is a wasteful number, since it uses less digits than its factorization.

660112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22074 (or 22057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 660112128 is about 25692.6473528907. The cubic root of 660112128 is about 870.7080719954.

The spelling of 660112128 in words is "six hundred sixty million, one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 22039 29952 44078 66117 88156 132234 176312 198351 264468 286507 352624 396702 528936 573014 705248 793404 859521 1057872 1146028 1410496 1586808 1719042 2115744 2292056 2578563 2820992 3173616 3438084 4231488 4584112 5157126 5641984 6347232 6876168 8462976 9168224 10314252 12694464 13752336 16925952 18336448 20628504 25388928 27504672 36672896 41257008 50777856 55009344 73345792 82514016 110018688 165028032 220037376 330056064 660112128