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41680260 = 223251753257
BaseRepresentation
bin1001111011111…
…1110110000100
32220102120120100
42132333312010
541132232020
64045204100
71014163536
oct236776604
986376510
1041680260
1121588aa6
1211b60630
13883459b
14576d856
1539d4a90
hex27bfd84

41680260 has 144 divisors (see below), whose sum is σ = 136923696. Its totient is φ = 10223616.

The previous prime is 41680253. The next prime is 41680273. The reversal of 41680260 is 6208614.

It can be written as a sum of positive squares in 8 ways, for example, as 10342656 + 31337604 = 3216^2 + 5598^2 .

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, 162052 + ... + 162308.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 241680260 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 41680260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68461848).

41680260 is an abundant number, since it is smaller than the sum of its proper divisors (95243436).

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

41680260 is a wasteful number, since it uses less digits than its factorization.

41680260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41680260 is about 6456.0250928880. The cubic root of 41680260 is about 346.7183334400.

Adding to 41680260 its reverse (6208614), we get a palindrome (47888874).

The spelling of 41680260 in words is "forty-one million, six hundred eighty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 257 265 306 318 340 477 510 514 530 612 636 765 771 795 901 954 1020 1028 1060 1285 1530 1542 1590 1802 1908 2313 2385 2570 2703 3060 3084 3180 3604 3855 4369 4505 4626 4770 5140 5406 7710 8109 8738 9010 9252 9540 10812 11565 13107 13515 13621 15420 16218 17476 18020 21845 23130 26214 27030 27242 32436 39321 40545 40863 43690 46260 52428 54060 54484 65535 68105 78642 81090 81726 87380 122589 131070 136210 157284 162180 163452 196605 204315 231557 245178 262140 272420 393210 408630 463114 490356 612945 694671 786420 817260 926228 1157785 1225890 1389342 2084013 2315570 2451780 2778684 3473355 4168026 4631140 6946710 8336052 10420065 13893420 20840130 41680260