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104542560 = 25325193821
BaseRepresentation
bin1100011101100…
…11000101100000
321021201022102200
412032303011200
5203230330220
614212413200
72406411543
oct616630540
9237638380
10104542560
1154014411
122b017200
1318874305
14dc5485a
1592a0890
hex63b3160

104542560 has 144 divisors (see below), whose sum is σ = 375626160. Its totient is φ = 26403840.

The previous prime is 104542547. The next prime is 104542573. The reversal of 104542560 is 65245401.

It is an interprime number because it is at equal distance from previous prime (104542547) and next prime (104542573).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25450 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 2104542560 is an apocalyptic number.

104542560 is a gapful number since it is divisible by the number (10) 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 104542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187813080).

104542560 is an abundant number, since it is smaller than the sum of its proper divisors (271083600).

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

104542560 is a wasteful number, since it uses less digits than its factorization.

104542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 104542560 is about 10224.6056158661. The cubic root of 104542560 is about 471.0833016956.

Adding to 104542560 its reverse (65245401), we get a palindrome (169787961).

The spelling of 104542560 in words is "one hundred four million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 3821 4560 5472 6840 7642 9120 11463 13680 15284 19105 22926 27360 30568 34389 38210 45852 57315 61136 68778 72599 76420 91704 114630 122272 137556 145198 152840 171945 183408 217797 229260 275112 290396 305680 343890 362995 366816 435594 458520 550224 580792 611360 653391 687780 725990 871188 917040 1088985 1100448 1161584 1306782 1375560 1451980 1742376 1834080 2177970 2323168 2613564 2751120 2903960 3266955 3484752 4355940 5227128 5502240 5807920 6533910 6969504 8711880 10454256 11615840 13067820 17423760 20908512 26135640 34847520 52271280 104542560