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112411860 = 223511181941
BaseRepresentation
bin1101011001101…
…00010011010100
321211112010002020
412230310103110
5212234134420
615053213140
72533325241
oct654642324
9254463066
10112411860
11584a9770
12317911b0
131a39b0c2
1410d025c8
159d07340
hex6b344d4

112411860 has 96 divisors (see below), whose sum is σ = 345631104. Its totient is φ = 27072000.

The previous prime is 112411823. The next prime is 112411861. The reversal of 112411860 is 68114211.

It is a self number, because there is not a number n which added to its sum of digits gives 112411860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112411861) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118990 + ... + 119930.

It is an arithmetic number, because the mean of its divisors is an integer number (3600324).

Almost surely, 2112411860 is an apocalyptic number.

112411860 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 112411860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172815552).

112411860 is an abundant number, since it is smaller than the sum of its proper divisors (233219244).

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

112411860 is a wasteful number, since it uses less digits than its factorization.

112411860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 112411860 is about 10602.4459442149. The cubic root of 112411860 is about 482.6185879059.

The spelling of 112411860 in words is "one hundred twelve million, four hundred eleven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 941 1086 1810 1882 1991 2172 2715 2823 3620 3764 3982 4705 5430 5646 5973 7964 9410 9955 10351 10860 11292 11946 14115 18820 19910 20702 23892 28230 29865 31053 39820 41404 51755 56460 59730 62106 103510 119460 124212 155265 170321 207020 310530 340642 510963 621060 681284 851605 1021926 1703210 1873531 2043852 2554815 3406420 3747062 5109630 5620593 7494124 9367655 10219260 11241186 18735310 22482372 28102965 37470620 56205930 112411860