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642063100 = 225274383257
BaseRepresentation
bin100110010001010…
…001101011111100
31122202011011222211
4212101101223330
52303332004400
6143413350204
721624306040
oct4621215374
91582134884
10642063100
112aa478568
1215b038364
13a30354c3
14613b6020
153b57adba
hex26451afc

642063100 has 144 divisors (see below), whose sum is σ = 1655394048. Its totient is φ = 211599360.

The previous prime is 642063091. The next prime is 642063113. The reversal of 642063100 is 1360246.

642063100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6420631002 = 824490048763220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498172 + ... + 2498428.

It is an arithmetic number, because the mean of its divisors is an integer number (11495792).

Almost surely, 2642063100 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 642063100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827697024).

642063100 is an abundant number, since it is smaller than the sum of its proper divisors (1013330948).

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

642063100 is a wasteful number, since it uses less digits than its factorization.

642063100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 642063100 is about 25338.9640672226. The cubic root of 642063100 is about 862.6988857320.

The spelling of 642063100 in words is "six hundred forty-two million, sixty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 83 86 100 140 166 172 175 215 257 301 332 350 415 430 514 581 602 700 830 860 1028 1075 1162 1204 1285 1505 1660 1799 2075 2150 2324 2570 2905 3010 3569 3598 4150 4300 5140 5810 6020 6425 7138 7196 7525 8300 8995 11051 11620 12850 14276 14525 15050 17845 17990 21331 22102 24983 25700 29050 30100 35690 35980 42662 44204 44975 49966 55255 58100 71380 77357 85324 89225 89950 99932 106655 110510 124915 149317 154714 178450 179900 213310 221020 249830 276275 298634 309428 356900 386785 426620 499660 533275 552550 597268 624575 746585 773570 917233 1066550 1105100 1249150 1493170 1547140 1834466 1933925 2133100 2498300 2986340 3668932 3732925 3867850 4586165 6420631 7465850 7735700 9172330 12841262 14931700 18344660 22930825 25682524 32103155 45861650 64206310 91723300 128412620 160515775 321031550 642063100