Search a number
-
+
125135560 = 235111911489
BaseRepresentation
bin1110111010101…
…10101011001000
322201110112201101
413131112223020
5224013314220
620230031144
73046430464
oct735265310
9281415641
10125135560
11646aa220
1235aa84b4
131cc04614
14128954a4
15aebc30a
hex7756ac8

125135560 has 64 divisors (see below), whose sum is σ = 308966400. Its totient is φ = 45235200.

The previous prime is 125135557. The next prime is 125135579. The reversal of 125135560 is 65531521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83296 + ... + 84784.

It is an arithmetic number, because the mean of its divisors is an integer number (4827600).

Almost surely, 2125135560 is an apocalyptic number.

125135560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154483200).

125135560 is an abundant number, since it is smaller than the sum of its proper divisors (183830840).

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

125135560 is a wasteful number, since it uses less digits than its factorization.

125135560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 125135560 is about 11186.4006722448. The cubic root of 125135560 is about 500.1806813673.

The spelling of 125135560 in words is "one hundred twenty-five million, one hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 382 440 764 955 1489 1528 1910 2101 2978 3820 4202 5956 7445 7640 8404 10505 11912 14890 16379 16808 21010 29780 32758 42020 59560 65516 81895 84040 131032 163790 284399 327580 568798 655160 1137596 1421995 2275192 2843990 3128389 5687980 6256778 11375960 12513556 15641945 25027112 31283890 62567780 125135560