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628117020 = 2232517205267
BaseRepresentation
bin100101011100000…
…100111000011100
31121202220122120100
4211130010320130
52241244221040
6142154421100
721364622646
oct4534047034
91552818510
10628117020
112a2612683
12156431790
13a019179b
145d5c5896
153a223b30
hex25704e1c

628117020 has 72 divisors (see below), whose sum is σ = 2017373904. Its totient is φ = 157644288.

The previous prime is 628116997. The next prime is 628117031. The reversal of 628117020 is 20711826.

628117020 is a `hidden beast` number, since 628 + 1 + 17 + 0 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 99574 + ... + 105693.

It is an arithmetic number, because the mean of its divisors is an integer number (28019082).

Almost surely, 2628117020 is an apocalyptic number.

628117020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628117020 is an abundant number, since it is smaller than the sum of its proper divisors (1389256884).

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

628117020 is a wasteful number, since it uses less digits than its factorization.

628117020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205299 (or 205294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 628117020 is about 25062.2628667086. The cubic root of 628117020 is about 856.4069581375.

Adding to 628117020 its reverse (20711826), we get a palindrome (648828846).

The spelling of 628117020 in words is "six hundred twenty-eight million, one hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 205267 410534 615801 821068 1026335 1231602 1847403 2052670 2463204 3079005 3489539 3694806 4105340 6158010 6979078 7389612 9237015 10468617 12316020 13958156 17447695 18474030 20937234 31405851 34895390 36948060 41874468 52343085 62811702 69790780 104686170 125623404 157029255 209372340 314058510 628117020