Search a number
-
+
125355328 = 267271563
BaseRepresentation
bin1110111100011…
…00010101000000
322201212201011221
413132030111000
5224042332303
620234444424
73051334300
oct736142500
9281781157
10125355328
116483a34a
1235b93714
131cc80667
1412911600
15b0124bd
hex778c540

125355328 has 84 divisors (see below), whose sum is σ = 293961312. Its totient is φ = 52872960.

The previous prime is 125355323. The next prime is 125355361. The reversal of 125355328 is 823553521.

It is a junction number, because it is equal to n+sod(n) for n = 125355293 and 125355302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125355323) 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, 222375 + ... + 222937.

Almost surely, 2125355328 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 125355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146980656).

125355328 is an abundant number, since it is smaller than the sum of its proper divisors (168605984).

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

125355328 is an equidigital number, since it uses as much as digits as its factorization.

125355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 643 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 125355328 is about 11196.2193619096. The cubic root of 125355328 is about 500.4733224570.

The spelling of 125355328 in words is "one hundred twenty-five million, three hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 142 196 224 284 392 448 497 563 568 784 994 1126 1136 1568 1988 2252 2272 3136 3479 3941 3976 4504 4544 6958 7882 7952 9008 13916 15764 15904 18016 27587 27832 31528 31808 36032 39973 55174 55664 63056 79946 110348 111328 126112 159892 220696 222656 252224 279811 319784 441392 559622 639568 882784 1119244 1279136 1765568 1958677 2238488 2558272 3917354 4476976 7834708 8953952 15669416 17907904 31338832 62677664 125355328