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113542560 = 253458761
BaseRepresentation
bin1101100010010…
…00010110100000
321220122120010000
412301020112200
5213031330220
615133340000
72546044605
oct661102640
9256576100
10113542560
115910122a
1232037600
131a6a5961
14111186ac
159e7c390
hex6c485a0

113542560 has 120 divisors (see below), whose sum is σ = 400756356. Its totient is φ = 30274560.

The previous prime is 113542549. The next prime is 113542573. The reversal of 113542560 is 65245311.

113542560 is a `hidden beast` number, since 113 + 542 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 11209104 = 10116^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8580 + ... + 17340.

Almost surely, 2113542560 is an apocalyptic number.

113542560 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 113542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200378178).

113542560 is an abundant number, since it is smaller than the sum of its proper divisors (287213796).

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

113542560 is an equidigital number, since it uses as much as digits as its factorization.

113542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 113542560 is about 10655.6351288884. The cubic root of 113542560 is about 484.2313399006.

Adding to 113542560 its reverse (65245311), we get a palindrome (178787871).

The spelling of 113542560 in words is "one hundred thirteen million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 8761 12960 17522 26283 35044 43805 52566 70088 78849 87610 105132 131415 140176 157698 175220 210264 236547 262830 280352 315396 350440 394245 420528 473094 525660 630792 700880 709641 788490 841056 946188 1051320 1182735 1261584 1401760 1419282 1576980 1892376 2102640 2365470 2523168 2838564 3153960 3548205 3784752 4205280 4730940 5677128 6307920 7096410 7569504 9461880 11354256 12615840 14192820 18923760 22708512 28385640 37847520 56771280 113542560