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112108680 = 233251092857
BaseRepresentation
bin1101010111010…
…10010010001000
321210221201012100
412223222102020
5212144434210
615042513400
72530623315
oct653522210
9253851170
10112108680
1158311a02
1231665860
131a2c30c8
1410c63d0c
159c975c0
hex6aea488

112108680 has 96 divisors (see below), whose sum is σ = 367824600. Its totient is φ = 29611008.

The previous prime is 112108657. The next prime is 112108699. The reversal of 112108680 is 86801211.

It can be written as a sum of positive squares in 4 ways, for example, as 103917636 + 8191044 = 10194^2 + 2862^2 .

It is a super-2 number, since 2×1121086802 = 25136712262684800, which contains 22 as substring.

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, 37812 + ... + 40668.

Almost surely, 2112108680 is an apocalyptic number.

112108680 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 112108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183912300).

112108680 is an abundant number, since it is smaller than the sum of its proper divisors (255715920).

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

112108680 is a wasteful number, since it uses less digits than its factorization.

112108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112108680 is about 10588.1386466177. The cubic root of 112108680 is about 482.1843156825.

Adding to 112108680 its reverse (86801211), we get a palindrome (198909891).

The spelling of 112108680 in words is "one hundred twelve million, one hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 2857 3270 3924 4360 4905 5714 6540 7848 8571 9810 11428 13080 14285 17142 19620 22856 25713 28570 34284 39240 42855 51426 57140 68568 85710 102852 114280 128565 171420 205704 257130 311413 342840 514260 622826 934239 1028520 1245652 1557065 1868478 2491304 2802717 3114130 3736956 4671195 5605434 6228260 7473912 9342390 11210868 12456520 14013585 18684780 22421736 28027170 37369560 56054340 112108680