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112857810 = 23513472131
BaseRepresentation
bin1101011101000…
…01001011010010
321212100202210220
412232201023102
5212342422220
615110533510
72540163342
oct656411322
9255322726
10112857810
115878381a
1231967296
131a4c6090
1410dbad22
159d94540
hex6ba12d2

112857810 has 96 divisors (see below), whose sum is σ = 300307392. Its totient is φ = 26981760.

The previous prime is 112857809. The next prime is 112857827. The reversal of 112857810 is 18758211.

It is a super-2 number, since 2×1128578102 = 25473770555992200, which contains 22 as substring.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 861445 + ... + 861575.

It is an arithmetic number, because the mean of its divisors is an integer number (3128202).

Almost surely, 2112857810 is an apocalyptic number.

112857810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112857810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150153696).

112857810 is an abundant number, since it is smaller than the sum of its proper divisors (187449582).

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

112857810 is a wasteful number, since it uses less digits than its factorization.

112857810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 112857810 is about 10623.4556524702. The cubic root of 112857810 is about 483.2559458608.

The spelling of 112857810 in words is "one hundred twelve million, eight hundred fifty-seven thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 131 141 195 235 262 282 390 393 470 611 655 705 786 1222 1310 1410 1703 1833 1965 2209 3055 3406 3666 3930 4418 5109 6110 6157 6627 8515 9165 10218 11045 12314 13254 17030 18330 18471 22090 25545 28717 30785 33135 36942 51090 57434 61570 66270 80041 86151 92355 143585 160082 172302 184710 240123 287170 289379 400205 430755 480246 578758 800410 861510 868137 1200615 1446895 1736274 2401230 2893790 3761927 4340685 7523854 8681370 11285781 18809635 22571562 37619270 56428905 112857810