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3085128 = 2336232
BaseRepresentation
bin1011110001001101001000
312210202000000
423301031020
51242211003
6150043000
735136354
oct13611510
95722000
103085128
1118179a2
121049460
13840327
145a4464
1540e1a3
hex2f1348

3085128 has 84 divisors (see below), whose sum is σ = 9066435. Its totient is φ = 983664.

The previous prime is 3085123. The next prime is 3085129. The reversal of 3085128 is 8215803.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 1542564 = 1242^2 + 1242^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3085123) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 134125 + ... + 134147.

Almost surely, 23085128 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 3085128

3085128 is an abundant number, since it is smaller than the sum of its proper divisors (5981307).

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

3085128 is an equidigital number, since it uses as much as digits as its factorization.

3085128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3085128 is about 1756.4532444674. The cubic root of 3085128 is about 145.5764291836.

It can be divided in two parts, 30 and 85128, that added together give a palindrome (85158).

The spelling of 3085128 in words is "three million, eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 529 552 621 648 729 828 972 1058 1242 1458 1587 1656 1863 1944 2116 2484 2916 3174 3726 4232 4761 4968 5589 5832 6348 7452 9522 11178 12696 14283 14904 16767 19044 22356 28566 33534 38088 42849 44712 57132 67068 85698 114264 128547 134136 171396 257094 342792 385641 514188 771282 1028376 1542564 3085128