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4105080 = 233457181
BaseRepresentation
bin1111101010001101111000
321201120010000
433222031320
52022330310
6223553000
746615110
oct17521570
97646100
104105080
112354231
12145b760
13b09655
1478c040
155614c0
hex3ea378

4105080 has 160 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 933120.

The previous prime is 4105069. The next prime is 4105091. The reversal of 4105080 is 805014.

It is an interprime number because it is at equal distance from previous prime (4105069) and next prime (4105091).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 22590 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (99099).

Almost surely, 24105080 is an apocalyptic number.

4105080 is a gapful number since it is divisible by the number (40) 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 4105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927920).

4105080 is an abundant number, since it is smaller than the sum of its proper divisors (11750760).

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

4105080 is a wasteful number, since it uses less digits than its factorization.

4105080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4105080 is about 2026.0997013968. The cubic root of 4105080 is about 160.1181419108.

The spelling of 4105080 in words is "four million, one hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 181 189 210 216 252 270 280 315 324 360 362 378 405 420 504 540 543 567 630 648 724 756 810 840 905 945 1080 1086 1134 1260 1267 1448 1512 1620 1629 1810 1890 2172 2268 2520 2534 2715 2835 3240 3258 3620 3780 3801 4344 4536 4887 5068 5430 5670 6335 6516 7240 7560 7602 8145 9774 10136 10860 11340 11403 12670 13032 14661 15204 16290 19005 19548 21720 22680 22806 24435 25340 29322 30408 32580 34209 38010 39096 45612 48870 50680 57015 58644 65160 68418 73305 76020 91224 97740 102627 114030 117288 136836 146610 152040 171045 195480 205254 228060 273672 293220 342090 410508 456120 513135 586440 684180 821016 1026270 1368360 2052540 4105080