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103542120 = 233251122377
BaseRepresentation
bin1100010101111…
…10110101101000
321012211111002100
412022332311220
5203001321440
614135133400
72365044033
oct612766550
9235744070
10103542120
11534a0800
122a814260
13185b3b36
14da7401a
159154230
hex62bed68

103542120 has 144 divisors (see below), whose sum is σ = 370040580. Its totient is φ = 25090560.

The previous prime is 103542119. The next prime is 103542133. The reversal of 103542120 is 21245301.

103542120 is a `hidden beast` number, since 1 + 0 + 3 + 542 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 1572516 = 10098^2 + 1254^2 .

It is a super-3 number, since 3×1035421203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 103542093 and 103542102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42372 + ... + 44748.

Almost surely, 2103542120 is an apocalyptic number.

103542120 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 103542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185020290).

103542120 is an abundant number, since it is smaller than the sum of its proper divisors (266498460).

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

103542120 is a wasteful number, since it uses less digits than its factorization.

103542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103542120 is about 10175.5648491865. The cubic root of 103542120 is about 469.5757753486.

Adding to 103542120 its reverse (21245301), we get a palindrome (124787421).

The spelling of 103542120 in words is "one hundred three million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2377 2420 2904 3630 3960 4356 4754 4840 5445 7131 7260 8712 9508 10890 11885 14262 14520 19016 21393 21780 23770 26147 28524 35655 42786 43560 47540 52294 57048 71310 78441 85572 95080 104588 106965 130735 142620 156882 171144 209176 213930 235323 261470 285240 287617 313764 392205 427860 470646 522940 575234 627528 784410 855720 862851 941292 1045880 1150468 1176615 1438085 1568820 1725702 1882584 2300936 2353230 2588553 2876170 3137640 3451404 4314255 4706460 5177106 5752340 6902808 8628510 9412920 10354212 11504680 12942765 17257020 20708424 25885530 34514040 51771060 103542120