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128461086 = 23313315903
BaseRepresentation
bin1111010100000…
…10100100011110
322221201111111000
413222002210132
5230341223321
620425211130
73116621055
oct752024436
9287644430
10128461086
1166570796
1237030aa6
13207ca1a0
14130bd39c
15b427826
hex7a8291e

128461086 has 64 divisors (see below), whose sum is σ = 317399040. Its totient is φ = 38244960.

The previous prime is 128461079. The next prime is 128461103. The reversal of 128461086 is 680164821.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128461086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18811 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2128461086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128461086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

128461086 is an abundant number, since it is smaller than the sum of its proper divisors (188937954).

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

128461086 is a wasteful number, since it uses less digits than its factorization.

128461086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128461086 is about 11334.0674958287. The cubic root of 128461086 is about 504.5728322484.

The spelling of 128461086 in words is "one hundred twenty-eight million, four hundred sixty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 5903 7254 10881 11806 17709 21762 35418 53127 76739 106254 153478 159381 182993 230217 318762 365986 460434 548979 690651 1097958 1381302 1646937 2071953 2378909 3293874 4143906 4757818 4940811 7136727 9881622 14273454 21410181 42820362 64230543 128461086