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128052180 = 223256171153
BaseRepresentation
bin1111010000111…
…10101111010100
322220221201120100
413220132233110
5230240132210
620412334100
73113265654
oct750365724
9286851510
10128052180
1166311553
1236a74330
13206b6029
1413014364
15b3965c0
hex7a1ebd4

128052180 has 72 divisors (see below), whose sum is σ = 389391912. Its totient is φ = 34062336.

The previous prime is 128052179. The next prime is 128052181. The reversal of 128052180 is 81250821.

It is an interprime number because it is at equal distance from previous prime (128052179) and next prime (128052181).

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 124411716 = 1908^2 + 11154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128052181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110484 + ... + 111636.

It is an arithmetic number, because the mean of its divisors is an integer number (5408221).

Almost surely, 2128052180 is an apocalyptic number.

128052180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128052180 is an abundant number, since it is smaller than the sum of its proper divisors (261339732).

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

128052180 is a wasteful number, since it uses less digits than its factorization.

128052180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 128052180 is about 11316.0143160037. The cubic root of 128052180 is about 504.0368926131.

The spelling of 128052180 in words is "one hundred twenty-eight million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 617 1153 1234 1851 2306 2468 3085 3459 3702 4612 5553 5765 6170 6918 7404 9255 10377 11106 11530 12340 13836 17295 18510 20754 22212 23060 27765 34590 37020 41508 51885 55530 69180 103770 111060 207540 711401 1422802 2134203 2845604 3557005 4268406 6402609 7114010 8536812 10671015 12805218 14228020 21342030 25610436 32013045 42684060 64026090 128052180