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128488465 = 57172341229
BaseRepresentation
bin1111010100010…
…01010000010001
322221202220001001
413222021100101
5230343112330
620425542001
73120063640
oct752112021
9287686031
10128488465
116658a316
1237044901
13208097a1
14130c9357
15b4309ca
hex7a89411

128488465 has 64 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 77045760.

The previous prime is 128488453. The next prime is 128488471. The reversal of 128488465 is 564884821.

128488465 is a nontrivial binomial coefficient, being equal to C(16031, 2).

It is not a de Polignac number, because 128488465 - 25 = 128488433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560971 + ... + 561199.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2128488465 is an apocalyptic number.

128488465 is the 16030-th triangular number.

128488465 is the 5344-th centered nonagonal number.

It is an amenable number.

128488465 is a deficient number, since it is larger than the sum of its proper divisors (71821295).

128488465 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (128488464) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (322).

128488465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its digits is 491520, while the sum is 46.

The square root of 128488465 is about 11335.2752502972. The cubic root of 128488465 is about 504.6086763541.

The spelling of 128488465 in words is "one hundred twenty-eight million, four hundred eighty-eight thousand, four hundred sixty-five".

Divisors: 1 5 7 17 23 35 41 85 115 119 161 205 229 287 391 595 697 805 943 1145 1435 1603 1955 2737 3485 3893 4715 4879 5267 6601 8015 9389 13685 16031 19465 24395 26335 27251 33005 36869 46945 65723 80155 89539 112217 136255 159613 184345 215947 328615 447695 561085 626773 798065 1079735 1117291 1511629 3133865 3671099 5586455 7558145 18355495 25697693 128488465