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112313640 = 23351974751
BaseRepresentation
bin1101011000111…
…00010100101000
321211100010100110
412230130110220
5212223014030
615051134320
72532436005
oct654342450
9254303313
10112313640
115844199a
12317443a0
131a36549a
1410cb88ac
159cd81b0
hex6b1c528

112313640 has 64 divisors (see below), whose sum is σ = 338722560. Its totient is φ = 29792000.

The previous prime is 112313633. The next prime is 112313647. The reversal of 112313640 is 46313211.

It is an interprime number because it is at equal distance from previous prime (112313633) and next prime (112313647).

It is a super-2 number, since 2×1123136402 = 25228707460099200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112313647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21265 + ... + 26015.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2112313640 is an apocalyptic number.

112313640 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 112313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169361280).

112313640 is an abundant number, since it is smaller than the sum of its proper divisors (226408920).

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

112313640 is a wasteful number, since it uses less digits than its factorization.

112313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 112313640 is about 10597.8129819317. The cubic root of 112313640 is about 482.4779840868.

Adding to 112313640 its reverse (46313211), we get a palindrome (158626851).

The spelling of 112313640 in words is "one hundred twelve million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 4751 5910 7880 9502 11820 14253 19004 23640 23755 28506 38008 47510 57012 71265 95020 114024 142530 190040 285060 570120 935947 1871894 2807841 3743788 4679735 5615682 7487576 9359470 11231364 14039205 18718940 22462728 28078410 37437880 56156820 112313640