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677704040 = 235138111607
BaseRepresentation
bin101000011001001…
…111000101101000
31202020012221011122
4220121033011220
52341443012130
6151125314412
722536250346
oct5031170550
91666187148
10677704040
11318601092
1216ab65a08
13aa533c10
1466012996
153e76b2e5
hex2864f168

677704040 has 64 divisors (see below), whose sum is σ = 1645176960. Its totient is φ = 249765120.

The previous prime is 677704021. The next prime is 677704043. The reversal of 677704040 is 40407776.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (677704043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 420917 + ... + 422523.

It is an arithmetic number, because the mean of its divisors is an integer number (25705890).

Almost surely, 2677704040 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 677704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822588480).

677704040 is an abundant number, since it is smaller than the sum of its proper divisors (967472920).

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

677704040 is a wasteful number, since it uses less digits than its factorization.

677704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 677704040 is about 26032.7493745859. The cubic root of 677704040 is about 878.3751179632.

The spelling of 677704040 in words is "six hundred seventy-seven million, seven hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 811 1607 1622 3214 3244 4055 6428 6488 8035 8110 10543 12856 16070 16220 20891 21086 32140 32440 41782 42172 52715 64280 83564 84344 104455 105430 167128 208910 210860 417820 421720 835640 1303277 2606554 5213108 6516385 10426216 13032770 16942601 26065540 33885202 52131080 67770404 84713005 135540808 169426010 338852020 677704040