Search a number
-
+
676024128 = 26321390281
BaseRepresentation
bin101000010010110…
…100111101000000
31202010001120202200
4220102310331000
52341030233003
6151025313200
722516052553
oct5022647500
91663046680
10676024128
11317663a2a
1216a495800
13aa0963a0
1465ad669a
153e5386a3
hex284b4f40

676024128 has 84 divisors (see below), whose sum is σ = 2086778148. Its totient is φ = 208005120.

The previous prime is 676024117. The next prime is 676024177. The reversal of 676024128 is 821420676.

676024128 is a `hidden beast` number, since 6 + 7 + 602 + 41 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 222845184 + 453178944 = 14928^2 + 21288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 676024092 and 676024101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37653 + ... + 52628.

It is an arithmetic number, because the mean of its divisors is an integer number (24842597).

Almost surely, 2676024128 is an apocalyptic number.

It is an amenable number.

676024128 is an abundant number, since it is smaller than the sum of its proper divisors (1410754020).

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

676024128 is a wasteful number, since it uses less digits than its factorization.

676024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90312 (or 90299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 676024128 is about 26000.4639958598. The cubic root of 676024128 is about 877.6487370540.

The spelling of 676024128 in words is "six hundred seventy-six million, twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 90281 180562 270843 361124 541686 722248 812529 1083372 1173653 1444496 1625058 2166744 2347306 2888992 3250116 3520959 4333488 4694612 5777984 6500232 7041918 8666976 9389224 10562877 13000464 14083836 17333952 18778448 21125754 26000928 28167672 37556896 42251508 52001856 56335344 75113792 84503016 112670688 169006032 225341376 338012064 676024128