Search a number
-
+
128578060 = 225131493319
BaseRepresentation
bin1111010100111…
…11001000001100
322221221102221101
413222133020030
5230403444220
620431512444
73120616102
oct752371014
9287842841
10128578060
1166640666
1237088724
132083b4c0
141310dc72
15b44c30a
hex7a9f20c

128578060 has 48 divisors (see below), whose sum is σ = 292824000. Its totient is φ = 47142144.

The previous prime is 128578019. The next prime is 128578063. The reversal of 128578060 is 60875821.

It is not an unprimeable number, because it can be changed into a prime (128578063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37081 + ... + 40399.

It is an arithmetic number, because the mean of its divisors is an integer number (6100500).

Almost surely, 2128578060 is an apocalyptic number.

128578060 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 128578060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146412000).

128578060 is an abundant number, since it is smaller than the sum of its proper divisors (164245940).

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

128578060 is a wasteful number, since it uses less digits than its factorization.

128578060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 128578060 is about 11339.2266050203. The cubic root of 128578060 is about 504.7259369710.

The spelling of 128578060 in words is "one hundred twenty-eight million, five hundred seventy-eight thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2980 3319 3874 6638 7748 9685 13276 16595 19370 33190 38740 43147 66380 86294 172588 215735 431470 494531 862940 989062 1978124 2472655 4945310 6428903 9890620 12857806 25715612 32144515 64289030 128578060