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641040660 = 223251331621
BaseRepresentation
bin100110001101011…
…000000100010100
31122200020020110200
4212031120010110
52303101300120
6143335420500
721612520131
oct4615300424
91580206420
10641040660
112a993a377
1215a824730
13a2a68000
14611cb588
153b427e90
hex26358114

641040660 has 144 divisors (see below), whose sum is σ = 2107756560. Its totient is φ = 157697280.

The previous prime is 641040629. The next prime is 641040683. The reversal of 641040660 is 66040146.

It can be written as a sum of positive squares in 8 ways, for example, as 398241936 + 242798724 = 19956^2 + 15582^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 394650 + ... + 396270.

Almost surely, 2641040660 is an apocalyptic number.

641040660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641040660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053878280).

641040660 is an abundant number, since it is smaller than the sum of its proper divisors (1466715900).

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

641040660 is a wasteful number, since it uses less digits than its factorization.

641040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 641040660 is about 25318.7807763328. The cubic root of 641040660 is about 862.2407134909.

The spelling of 641040660 in words is "six hundred forty-one million, forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1621 1690 2028 2197 2340 2535 3042 3242 3380 4394 4863 5070 6084 6484 6591 7605 8105 8788 9726 10140 10985 13182 14589 15210 16210 19452 19773 21073 21970 24315 26364 29178 30420 32420 32955 39546 42146 43940 48630 58356 63219 65910 72945 79092 84292 97260 98865 105365 126438 131820 145890 189657 197730 210730 252876 273949 291780 316095 379314 395460 421460 547898 632190 758628 821847 948285 1095796 1264380 1369745 1643694 1896570 2465541 2739490 3287388 3561337 3793140 4109235 4931082 5478980 7122674 8218470 9862164 10684011 12327705 14245348 16436940 17806685 21368022 24655410 32052033 35613370 42736044 49310820 53420055 64104066 71226740 106840110 128208132 160260165 213680220 320520330 641040660